---
_id: '39959'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Marcel
  full_name: de Jeu, Marcel
  last_name: de Jeu
citation:
  ama: Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. <i>Journal of
    Approximation Theory</i>. 2002;119(1):110-126. doi:<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>
  apa: Rösler, M., &#38; de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel.
    <i>Journal of Approximation Theory</i>, <i>119</i>(1), 110–126. <a href="https://doi.org/10.1006/jath.2002.3722">https://doi.org/10.1006/jath.2002.3722</a>
  bibtex: '@article{Rösler_de Jeu_2002, title={Asymptotic Analysis for the Dunkl Kernel},
    volume={119}, DOI={<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>},
    number={1}, journal={Journal of Approximation Theory}, publisher={Elsevier BV},
    author={Rösler, Margit and de Jeu, Marcel}, year={2002}, pages={110–126} }'
  chicago: 'Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl
    Kernel.” <i>Journal of Approximation Theory</i> 119, no. 1 (2002): 110–26. <a
    href="https://doi.org/10.1006/jath.2002.3722">https://doi.org/10.1006/jath.2002.3722</a>.'
  ieee: 'M. Rösler and M. de Jeu, “Asymptotic Analysis for the Dunkl Kernel,” <i>Journal
    of Approximation Theory</i>, vol. 119, no. 1, pp. 110–126, 2002, doi: <a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>.'
  mla: Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.”
    <i>Journal of Approximation Theory</i>, vol. 119, no. 1, Elsevier BV, 2002, pp.
    110–26, doi:<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>.
  short: M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.
date_created: 2023-01-25T10:20:13Z
date_updated: 2023-01-26T17:44:02Z
department:
- _id: '555'
doi: 10.1006/jath.2002.3722
extern: '1'
intvolume: '       119'
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 110-126
publication: Journal of Approximation Theory
publication_identifier:
  issn:
  - 0021-9045
publication_status: published
publisher: Elsevier BV
status: public
title: Asymptotic Analysis for the Dunkl Kernel
type: journal_article
user_id: '93826'
volume: 119
year: '2002'
...
---
_id: '45423'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Improved implementation of an algorithm for non-linear isotropic/kinematic
    hardening in elastoplasticity. <i>Communications in Numerical Methods in Engineering</i>.
    2002;15(10):745-754. doi:<a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>
  apa: Mahnken, R. (2002). Improved implementation of an algorithm for non-linear
    isotropic/kinematic hardening in elastoplasticity. <i>Communications in Numerical
    Methods in Engineering</i>, <i>15</i>(10), 745–754. <a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>
  bibtex: '@article{Mahnken_2002, title={Improved implementation of an algorithm for
    non-linear isotropic/kinematic hardening in elastoplasticity}, volume={15}, DOI={<a
    href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>},
    number={10}, journal={Communications in Numerical Methods in Engineering}, publisher={Wiley},
    author={Mahnken, Rolf}, year={2002}, pages={745–754} }'
  chicago: 'Mahnken, Rolf. “Improved Implementation of an Algorithm for Non-Linear
    Isotropic/Kinematic Hardening in Elastoplasticity.” <i>Communications in Numerical
    Methods in Engineering</i> 15, no. 10 (2002): 745–54. <a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.'
  ieee: 'R. Mahnken, “Improved implementation of an algorithm for non-linear isotropic/kinematic
    hardening in elastoplasticity,” <i>Communications in Numerical Methods in Engineering</i>,
    vol. 15, no. 10, pp. 745–754, 2002, doi: <a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.'
  mla: Mahnken, Rolf. “Improved Implementation of an Algorithm for Non-Linear Isotropic/Kinematic
    Hardening in Elastoplasticity.” <i>Communications in Numerical Methods in Engineering</i>,
    vol. 15, no. 10, Wiley, 2002, pp. 745–54, doi:<a href="https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.
  short: R. Mahnken, Communications in Numerical Methods in Engineering 15 (2002)
    745–754.
date_created: 2023-05-31T12:14:42Z
date_updated: 2023-05-31T12:15:12Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1099-0887(199910)15:10<745::aid-cnm288>3.0.co;2-r
intvolume: '        15'
issue: '10'
keyword:
- Applied Mathematics
- Computational Theory and Mathematics
- General Engineering
- Modeling and Simulation
- Software
language:
- iso: eng
page: 745-754
publication: Communications in Numerical Methods in Engineering
publication_identifier:
  issn:
  - 1069-8299
  - 1099-0887
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Improved implementation of an algorithm for non-linear isotropic/kinematic
  hardening in elastoplasticity
type: journal_article
user_id: '335'
volume: 15
year: '2002'
...
---
_id: '45417'
author:
- first_name: C.
  full_name: Döbert, C.
  last_name: Döbert
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
citation:
  ama: Döbert C, Mahnken R, Stein E. Numerical simulation of interface debonding with
    a combined damage/friction constitutive model. <i>Computational Mechanics</i>.
    2002;25(5):456-467. doi:<a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>
  apa: Döbert, C., Mahnken, R., &#38; Stein, E. (2002). Numerical simulation of interface
    debonding with a combined damage/friction constitutive model. <i>Computational
    Mechanics</i>, <i>25</i>(5), 456–467. <a href="https://doi.org/10.1007/s004660050493">https://doi.org/10.1007/s004660050493</a>
  bibtex: '@article{Döbert_Mahnken_Stein_2002, title={Numerical simulation of interface
    debonding with a combined damage/friction constitutive model}, volume={25}, DOI={<a
    href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>}, number={5},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Döbert, C. and Mahnken, Rolf and Stein, E.}, year={2002}, pages={456–467}
    }'
  chicago: 'Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface
    Debonding with a Combined Damage/Friction Constitutive Model.” <i>Computational
    Mechanics</i> 25, no. 5 (2002): 456–67. <a href="https://doi.org/10.1007/s004660050493">https://doi.org/10.1007/s004660050493</a>.'
  ieee: 'C. Döbert, R. Mahnken, and E. Stein, “Numerical simulation of interface debonding
    with a combined damage/friction constitutive model,” <i>Computational Mechanics</i>,
    vol. 25, no. 5, pp. 456–467, 2002, doi: <a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>.'
  mla: Döbert, C., et al. “Numerical Simulation of Interface Debonding with a Combined
    Damage/Friction Constitutive Model.” <i>Computational Mechanics</i>, vol. 25,
    no. 5, Springer Science and Business Media LLC, 2002, pp. 456–67, doi:<a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>.
  short: C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.
date_created: 2023-05-31T12:04:03Z
date_updated: 2023-05-31T12:04:35Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/s004660050493
intvolume: '        25'
issue: '5'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 456-467
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Numerical simulation of interface debonding with a combined damage/friction
  constitutive model
type: journal_article
user_id: '335'
volume: 25
year: '2002'
...
---
_id: '45427'
abstract:
- lang: eng
  text: '<jats:p>In this work a gradient‐based optimization method is applied in order
    to determine material parameters for a viscoplastic model with dynamic yield surface
    coupled to damage as presented in 1997. To this end a sensitivity analysis consistent
    with the integration scheme presented previously is performed in a systematic
    manner, both for strain and stress controlled experiments. The algorithm is tested
    in two numerical examples: first, simulated data are used, in order to re‐obtain
    parameters for the case of damage under monotonic loading. In the second example
    material parameters are obtained based on experimental data for lcf‐testing of
    an austenetic stainless steel, thus showing a very good agreement with respect
    to hardening, rate and damage effects.</jats:p>'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Magnus
  full_name: Johansson, Magnus
  last_name: Johansson
- first_name: Kenneth
  full_name: Runesson, Kenneth
  last_name: Runesson
citation:
  ama: Mahnken R, Johansson M, Runesson K. Parameter estimation for a viscoplastic
    damage model using a gradient‐based optimization algorithm. <i>Engineering Computations</i>.
    2002;15(7):925-955. doi:<a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>
  apa: Mahnken, R., Johansson, M., &#38; Runesson, K. (2002). Parameter estimation
    for a viscoplastic damage model using a gradient‐based optimization algorithm.
    <i>Engineering Computations</i>, <i>15</i>(7), 925–955. <a href="https://doi.org/10.1108/02644409810236920">https://doi.org/10.1108/02644409810236920</a>
  bibtex: '@article{Mahnken_Johansson_Runesson_2002, title={Parameter estimation for
    a viscoplastic damage model using a gradient‐based optimization algorithm}, volume={15},
    DOI={<a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>},
    number={7}, journal={Engineering Computations}, publisher={Emerald}, author={Mahnken,
    Rolf and Johansson, Magnus and Runesson, Kenneth}, year={2002}, pages={925–955}
    }'
  chicago: 'Mahnken, Rolf, Magnus Johansson, and Kenneth Runesson. “Parameter Estimation
    for a Viscoplastic Damage Model Using a Gradient‐based Optimization Algorithm.”
    <i>Engineering Computations</i> 15, no. 7 (2002): 925–55. <a href="https://doi.org/10.1108/02644409810236920">https://doi.org/10.1108/02644409810236920</a>.'
  ieee: 'R. Mahnken, M. Johansson, and K. Runesson, “Parameter estimation for a viscoplastic
    damage model using a gradient‐based optimization algorithm,” <i>Engineering Computations</i>,
    vol. 15, no. 7, pp. 925–955, 2002, doi: <a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>.'
  mla: Mahnken, Rolf, et al. “Parameter Estimation for a Viscoplastic Damage Model
    Using a Gradient‐based Optimization Algorithm.” <i>Engineering Computations</i>,
    vol. 15, no. 7, Emerald, 2002, pp. 925–55, doi:<a href="https://doi.org/10.1108/02644409810236920">10.1108/02644409810236920</a>.
  short: R. Mahnken, M. Johansson, K. Runesson, Engineering Computations 15 (2002)
    925–955.
date_created: 2023-05-31T12:20:54Z
date_updated: 2023-05-31T12:21:15Z
department:
- _id: '9'
- _id: '154'
doi: 10.1108/02644409810236920
intvolume: '        15'
issue: '7'
keyword:
- Computational Theory and Mathematics
- Computer Science Applications
- General Engineering
- Software
language:
- iso: eng
page: 925-955
publication: Engineering Computations
publication_identifier:
  issn:
  - 0264-4401
publication_status: published
publisher: Emerald
quality_controlled: '1'
status: public
title: Parameter estimation for a viscoplastic damage model using a gradient‐based
  optimization algorithm
type: journal_article
user_id: '335'
volume: 15
year: '2002'
...
---
_id: '45425'
author:
- first_name: Magnus
  full_name: Johansson, Magnus
  last_name: Johansson
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Kenneth
  full_name: Runesson, Kenneth
  last_name: Runesson
citation:
  ama: Johansson M, Mahnken R, Runesson K. Efficient integration technique for generalized
    viscoplasticity coupled to damage. <i>International Journal for Numerical Methods
    in Engineering</i>. 2002;44(11):1727-1747. doi:<a href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>
  apa: Johansson, M., Mahnken, R., &#38; Runesson, K. (2002). Efficient integration
    technique for generalized viscoplasticity coupled to damage. <i>International
    Journal for Numerical Methods in Engineering</i>, <i>44</i>(11), 1727–1747. <a
    href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>
  bibtex: '@article{Johansson_Mahnken_Runesson_2002, title={Efficient integration
    technique for generalized viscoplasticity coupled to damage}, volume={44}, DOI={<a
    href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>},
    number={11}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Johansson, Magnus and Mahnken, Rolf and Runesson, Kenneth},
    year={2002}, pages={1727–1747} }'
  chicago: 'Johansson, Magnus, Rolf Mahnken, and Kenneth Runesson. “Efficient Integration
    Technique for Generalized Viscoplasticity Coupled to Damage.” <i>International
    Journal for Numerical Methods in Engineering</i> 44, no. 11 (2002): 1727–47. <a
    href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.'
  ieee: 'M. Johansson, R. Mahnken, and K. Runesson, “Efficient integration technique
    for generalized viscoplasticity coupled to damage,” <i>International Journal for
    Numerical Methods in Engineering</i>, vol. 44, no. 11, pp. 1727–1747, 2002, doi:
    <a href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.'
  mla: Johansson, Magnus, et al. “Efficient Integration Technique for Generalized
    Viscoplasticity Coupled to Damage.” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 44, no. 11, Wiley, 2002, pp. 1727–47, doi:<a href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.
  short: M. Johansson, R. Mahnken, K. Runesson, International Journal for Numerical
    Methods in Engineering 44 (2002) 1727–1747.
date_created: 2023-05-31T12:17:46Z
date_updated: 2023-05-31T12:18:12Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1097-0207(19990420)44:11<1727::aid-nme568>3.0.co;2-p
intvolume: '        44'
issue: '11'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1727-1747
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Efficient integration technique for generalized viscoplasticity coupled to
  damage
type: journal_article
user_id: '335'
volume: 44
year: '2002'
...
---
_id: '11778'
abstract:
- lang: eng
  text: In this paper, it is shown that a correlation criterion is the appropriate
    criterion for bottom-up clustering to obtain broad phonetic class regression trees
    for maximum likelihood linear regression (MLLR)-based speaker adaptation. The
    correlation structure among speech units is estimated on the speaker-independent
    training data. In adaptation experiments the tree outperformed a regression tree
    obtained from clustering according to closeness in acoustic space and achieved
    results comparable with those of a manually designed broad phonetic class tree
author:
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
citation:
  ama: Haeb-Umbach R. Automatic generation of phonetic regression class trees for
    MLLR adaptation. <i>IEEE Transactions on Speech and Audio Processing</i>. 2001;9(3):299-302.
    doi:<a href="https://doi.org/10.1109/89.906003">10.1109/89.906003</a>
  apa: Haeb-Umbach, R. (2001). Automatic generation of phonetic regression class trees
    for MLLR adaptation. <i>IEEE Transactions on Speech and Audio Processing</i>,
    <i>9</i>(3), 299–302. <a href="https://doi.org/10.1109/89.906003">https://doi.org/10.1109/89.906003</a>
  bibtex: '@article{Haeb-Umbach_2001, title={Automatic generation of phonetic regression
    class trees for MLLR adaptation}, volume={9}, DOI={<a href="https://doi.org/10.1109/89.906003">10.1109/89.906003</a>},
    number={3}, journal={IEEE Transactions on Speech and Audio Processing}, author={Haeb-Umbach,
    Reinhold}, year={2001}, pages={299–302} }'
  chicago: 'Haeb-Umbach, Reinhold. “Automatic Generation of Phonetic Regression Class
    Trees for MLLR Adaptation.” <i>IEEE Transactions on Speech and Audio Processing</i>
    9, no. 3 (2001): 299–302. <a href="https://doi.org/10.1109/89.906003">https://doi.org/10.1109/89.906003</a>.'
  ieee: R. Haeb-Umbach, “Automatic generation of phonetic regression class trees for
    MLLR adaptation,” <i>IEEE Transactions on Speech and Audio Processing</i>, vol.
    9, no. 3, pp. 299–302, 2001.
  mla: Haeb-Umbach, Reinhold. “Automatic Generation of Phonetic Regression Class Trees
    for MLLR Adaptation.” <i>IEEE Transactions on Speech and Audio Processing</i>,
    vol. 9, no. 3, 2001, pp. 299–302, doi:<a href="https://doi.org/10.1109/89.906003">10.1109/89.906003</a>.
  short: R. Haeb-Umbach, IEEE Transactions on Speech and Audio Processing 9 (2001)
    299–302.
date_created: 2019-07-12T05:28:04Z
date_updated: 2022-01-06T06:51:08Z
department:
- _id: '54'
doi: 10.1109/89.906003
intvolume: '         9'
issue: '3'
keyword:
- acoustic space
- adaptation experiments
- automatic generation
- bottom-up clustering
- broad phonetic class regression trees
- correlation criterion
- correlation methods
- maximum likelihood estimation
- maximum likelihood linear regression based speaker adaptation
- MLLR adaptation
- pattern clustering
- phonetic regression class trees
- speaker-independent training data
- speech recognition
- speech units
- statistical analysis
- trees (mathematics)
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://groups.uni-paderborn.de/nt/pubs/2001/Ha01.pdf
oa: '1'
page: 299-302
publication: IEEE Transactions on Speech and Audio Processing
status: public
title: Automatic generation of phonetic regression class trees for MLLR adaptation
type: journal_article
user_id: '44006'
volume: 9
year: '2001'
...
---
_id: '34897'
abstract:
- lang: eng
  text: This paper announces the creation of a database for number fields. It describes
    the contents and the methods of access, indicates the origin of the polynomials,
    and formulates the aims of this collection of fields.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Gunter
  full_name: Malle, Gunter
  last_name: Malle
citation:
  ama: Klüners J, Malle G. A Database for Field Extensions of the Rationals. <i>LMS
    Journal of Computation and Mathematics</i>. 2001;4:182-196. doi:<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>
  apa: Klüners, J., &#38; Malle, G. (2001). A Database for Field Extensions of the
    Rationals. <i>LMS Journal of Computation and Mathematics</i>, <i>4</i>, 182–196.
    <a href="https://doi.org/10.1112/s1461157000000851">https://doi.org/10.1112/s1461157000000851</a>
  bibtex: '@article{Klüners_Malle_2001, title={A Database for Field Extensions of
    the Rationals}, volume={4}, DOI={<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>},
    journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Klüners,
    Jürgen and Malle, Gunter}, year={2001}, pages={182–196} }'
  chicago: 'Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of
    the Rationals.” <i>LMS Journal of Computation and Mathematics</i> 4 (2001): 182–96.
    <a href="https://doi.org/10.1112/s1461157000000851">https://doi.org/10.1112/s1461157000000851</a>.'
  ieee: 'J. Klüners and G. Malle, “A Database for Field Extensions of the Rationals,”
    <i>LMS Journal of Computation and Mathematics</i>, vol. 4, pp. 182–196, 2001,
    doi: <a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>.'
  mla: Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the
    Rationals.” <i>LMS Journal of Computation and Mathematics</i>, vol. 4, Wiley,
    2001, pp. 182–96, doi:<a href="https://doi.org/10.1112/s1461157000000851">10.1112/s1461157000000851</a>.
  short: J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001)
    182–196.
date_created: 2022-12-23T09:56:22Z
date_updated: 2023-03-02T09:53:08Z
department:
- _id: '102'
doi: 10.1112/s1461157000000851
external_id:
  arxiv:
  - math/0102232
intvolume: '         4'
keyword:
- Computational Theory and Mathematics
- General Mathematics
language:
- iso: eng
page: 182-196
publication: LMS Journal of Computation and Mathematics
publication_identifier:
  issn:
  - 1461-1570
publication_status: published
publisher: Wiley
status: public
title: A Database for Field Extensions of the Rationals
type: journal_article
user_id: '93826'
volume: 4
year: '2001'
...
---
_id: '34900'
abstract:
- lang: eng
  text: We describe methods for the computation of Galois groups of univariate polynomials
    over the rationals which we have implemented up to degree 15. These methods are
    based on Stauduhar’s algorithm. All computations are done in unramified p -adic
    extensions. For imprimitive groups we give an improvement using subfields. In
    the primitive case we use known subgroups of the Galois group together with a
    combination of Stauduhar’s method and the absolute resolvent method.
author:
- first_name: Katharina
  full_name: Geissler, Katharina
  last_name: Geissler
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. <i>Journal
    of Symbolic Computation</i>. 2000;30(6):653-674. doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>
  apa: Geissler, K., &#38; Klüners, J. (2000). Galois Group Computation for Rational
    Polynomials. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 653–674. <a
    href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>
  bibtex: '@article{Geissler_Klüners_2000, title={Galois Group Computation for Rational
    Polynomials}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Geissler, Katharina and Klüners, Jürgen}, year={2000}, pages={653–674}
    }'
  chicago: 'Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for
    Rational Polynomials.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    653–74. <a href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>.'
  ieee: 'K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,”
    <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 653–674, 2000, doi:
    <a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.'
  mla: Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational
    Polynomials.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier
    BV, 2000, pp. 653–74, doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.
  short: K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
date_created: 2022-12-23T09:58:16Z
date_updated: 2023-03-06T09:58:06Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0377
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 653-674
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Galois Group Computation for Rational Polynomials
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34901'
abstract:
- lang: eng
  text: Let L = K(α) be an Abelian extension of degree n of a number field K, given
    by the minimal polynomial of α over K. We describe an algorithm for computing
    the local Artin map associated with the extension L / K at a finite or infinite
    prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from
    L, assuming that L / K is cyclic.
author:
- first_name: Vincenzo
  full_name: Acciaro, Vincenzo
  last_name: Acciaro
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations.
    <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>
  apa: Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability
    of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252.
    <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>
  bibtex: '@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability
    of Norm Equations}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }'
  chicago: 'Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and
    Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no.
    3 (2000): 239–52. <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>.'
  ieee: 'V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of
    Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252,
    2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.'
  mla: Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability
    of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier
    BV, 2000, pp. 239–52, doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.
  short: V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
date_created: 2022-12-23T09:58:48Z
date_updated: 2023-03-06T09:57:34Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0361
intvolume: '        30'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 239-252
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing Local Artin Maps, and Solvability of Norm Equations
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34899'
abstract:
- lang: eng
  text: We describe methods for the construction of polynomials with certain types
    of Galois groups. As an application we deduce that all transitive groups G up
    to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each
    case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Gunter
  full_name: Malle, Gunter
  last_name: Malle
citation:
  ama: Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree
    up to 15. <i>Journal of Symbolic Computation</i>. 2000;30(6):675-716. doi:<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>
  apa: Klüners, J., &#38; Malle, G. (2000). Explicit Galois Realization of Transitive
    Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>, <i>30</i>(6),
    675–716. <a href="https://doi.org/10.1006/jsco.2000.0378">https://doi.org/10.1006/jsco.2000.0378</a>
  bibtex: '@article{Klüners_Malle_2000, title={Explicit Galois Realization of Transitive
    Groups of Degree up to 15}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Malle, Gunter}, year={2000}, pages={675–716} }'
  chicago: 'Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive
    Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    675–716. <a href="https://doi.org/10.1006/jsco.2000.0378">https://doi.org/10.1006/jsco.2000.0378</a>.'
  ieee: 'J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups
    of Degree up to 15,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp.
    675–716, 2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>.'
  mla: Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive
    Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i>, vol. 30, no.
    6, Elsevier BV, 2000, pp. 675–716, doi:<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>.
  short: J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
date_created: 2022-12-23T09:57:28Z
date_updated: 2023-03-06T10:48:05Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0378
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 675-716
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Explicit Galois Realization of Transitive Groups of Degree up to 15
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34898'
abstract:
- lang: eng
  text: We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove
    that SL₂(11) is the Galois group of a regular extension of ℚ (t).
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>.
    2000;30(6):733-737. doi:<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>
  apa: Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic
    Computation</i>, <i>30</i>(6), 733–737. <a href="https://doi.org/10.1006/jsco.2000.0380">https://doi.org/10.1006/jsco.2000.0380</a>
  bibtex: '@article{Klüners_2000, title={A Polynomial with Galois GroupSL2(11)}, volume={30},
    DOI={<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen}, year={2000}, pages={733–737} }'
  chicago: 'Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of
    Symbolic Computation</i> 30, no. 6 (2000): 733–37. <a href="https://doi.org/10.1006/jsco.2000.0380">https://doi.org/10.1006/jsco.2000.0380</a>.'
  ieee: 'J. Klüners, “A Polynomial with Galois GroupSL2(11),” <i>Journal of Symbolic
    Computation</i>, vol. 30, no. 6, pp. 733–737, 2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>.'
  mla: Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic
    Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>.
  short: J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.
date_created: 2022-12-23T09:56:52Z
date_updated: 2023-03-06T10:48:40Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0380
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 733-737
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: A Polynomial with Galois GroupSL2(11)
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '40184'
abstract:
- lang: eng
  text: <jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty
    principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>.
    Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. An uncertainty principle for the Dunkl transform. <i>Bulletin of
    the Australian Mathematical Society</i>. 1999;59(3):353-360. doi:<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>
  apa: Rösler, M. (1999). An uncertainty principle for the Dunkl transform. <i>Bulletin
    of the Australian Mathematical Society</i>, <i>59</i>(3), 353–360. <a href="https://doi.org/10.1017/s0004972700033025">https://doi.org/10.1017/s0004972700033025</a>
  bibtex: '@article{Rösler_1999, title={An uncertainty principle for the Dunkl transform},
    volume={59}, DOI={<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>},
    number={3}, journal={Bulletin of the Australian Mathematical Society}, publisher={Cambridge
    University Press (CUP)}, author={Rösler, Margit}, year={1999}, pages={353–360}
    }'
  chicago: 'Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin
    of the Australian Mathematical Society</i> 59, no. 3 (1999): 353–60. <a href="https://doi.org/10.1017/s0004972700033025">https://doi.org/10.1017/s0004972700033025</a>.'
  ieee: 'M. Rösler, “An uncertainty principle for the Dunkl transform,” <i>Bulletin
    of the Australian Mathematical Society</i>, vol. 59, no. 3, pp. 353–360, 1999,
    doi: <a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>.'
  mla: Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin
    of the Australian Mathematical Society</i>, vol. 59, no. 3, Cambridge University
    Press (CUP), 1999, pp. 353–60, doi:<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>.
  short: M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
date_created: 2023-01-26T08:19:30Z
date_updated: 2023-01-26T17:40:13Z
department:
- _id: '555'
doi: 10.1017/s0004972700033025
extern: '1'
intvolume: '        59'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 353-360
publication: Bulletin of the Australian Mathematical Society
publication_identifier:
  issn:
  - 0004-9727
  - 1755-1633
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: An uncertainty principle for the Dunkl transform
type: journal_article
user_id: '93826'
volume: 59
year: '1999'
...
---
_id: '40189'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical
    Journal</i>. 1999;98(3):445-463. doi:<a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>
  apa: Rösler, M. (1999). Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical
    Journal</i>, <i>98</i>(3), 445–463. <a href="https://doi.org/10.1215/s0012-7094-99-09813-7">https://doi.org/10.1215/s0012-7094-99-09813-7</a>
  bibtex: '@article{Rösler_1999, title={Positivity of Dunkl’s intertwining operator},
    volume={98}, DOI={<a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>},
    number={3}, journal={Duke Mathematical Journal}, publisher={Duke University Press},
    author={Rösler, Margit}, year={1999}, pages={445–463} }'
  chicago: 'Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke
    Mathematical Journal</i> 98, no. 3 (1999): 445–63. <a href="https://doi.org/10.1215/s0012-7094-99-09813-7">https://doi.org/10.1215/s0012-7094-99-09813-7</a>.'
  ieee: 'M. Rösler, “Positivity of Dunkl’s intertwining operator,” <i>Duke Mathematical
    Journal</i>, vol. 98, no. 3, pp. 445–463, 1999, doi: <a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>.'
  mla: Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke Mathematical
    Journal</i>, vol. 98, no. 3, Duke University Press, 1999, pp. 445–63, doi:<a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>.
  short: M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
date_created: 2023-01-26T08:25:43Z
date_updated: 2023-01-26T17:40:05Z
department:
- _id: '555'
doi: 10.1215/s0012-7094-99-09813-7
extern: '1'
intvolume: '        98'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 445-463
publication: Duke Mathematical Journal
publication_identifier:
  issn:
  - 0012-7094
publication_status: published
publisher: Duke University Press
status: public
title: Positivity of Dunkl’s intertwining operator
type: journal_article
user_id: '93826'
volume: 98
year: '1999'
...
---
_id: '40192'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>If<jats:italic>G</jats:italic>is
    a closed subgroup of a commutative hypergroup<jats:italic>K</jats:italic>, then
    the coset space<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>carries
    a quotient hypergroup structure. In this paper, we study related convolution structures
    on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>coming fromdeformations
    of the quotient hypergroup structure by certain functions on<jats:italic>K</jats:italic>which
    we call partial characters with respect to<jats:italic>G</jats:italic>. They are
    usually not probability-preserving, but lead to so-called signed hypergroups on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>.
    A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted
    as a signed quotient hypergroup convolution derived from the Heisenberg group.
    Moreover, signed hypergroups associated with the Gelfand pair (<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>,
    1),<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>)) are discussed.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. <i>Canadian
    Journal of Mathematics</i>. 1999;51(1):96-116. doi:<a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>
  apa: Rösler, M., &#38; Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups.
    <i>Canadian Journal of Mathematics</i>, <i>51</i>(1), 96–116. <a href="https://doi.org/10.4153/cjm-1999-006-6">https://doi.org/10.4153/cjm-1999-006-6</a>
  bibtex: '@article{Rösler_Voit_1999, title={Partial Characters and Signed Quotient
    Hypergroups}, volume={51}, DOI={<a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>},
    number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
    Society}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={96–116}
    }'
  chicago: 'Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient
    Hypergroups.” <i>Canadian Journal of Mathematics</i> 51, no. 1 (1999): 96–116.
    <a href="https://doi.org/10.4153/cjm-1999-006-6">https://doi.org/10.4153/cjm-1999-006-6</a>.'
  ieee: 'M. Rösler and M. Voit, “Partial Characters and Signed Quotient Hypergroups,”
    <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, pp. 96–116, 1999, doi:
    <a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>.'
  mla: Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.”
    <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, Canadian Mathematical
    Society, 1999, pp. 96–116, doi:<a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>.
  short: M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
date_created: 2023-01-26T08:27:14Z
date_updated: 2023-01-26T17:51:42Z
department:
- _id: '555'
doi: 10.4153/cjm-1999-006-6
extern: '1'
intvolume: '        51'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 96-116
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
  - 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: Partial Characters and Signed Quotient Hypergroups
type: journal_article
user_id: '37390'
volume: 51
year: '1999'
...
---
_id: '34902'
abstract:
- lang: eng
  text: We present a new polynomial decomposition which generalizes the functional
    and homogeneous bivariate decomposition of irreducible monic polynomials in one
    variable over the rationals. With these decompositions it is possible to calculate
    the roots of an imprimitive polynomial by solving polynomial equations of lower
    degree.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>.
    1999;27(3):261-269. doi:<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>
  apa: Klüners, J. (1999). On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>,
    <i>27</i>(3), 261–269. <a href="https://doi.org/10.1006/jsco.1998.0252">https://doi.org/10.1006/jsco.1998.0252</a>
  bibtex: '@article{Klüners_1999, title={On Polynomial Decompositions}, volume={27},
    DOI={<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen}, year={1999}, pages={261–269} }'
  chicago: 'Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic
    Computation</i> 27, no. 3 (1999): 261–69. <a href="https://doi.org/10.1006/jsco.1998.0252">https://doi.org/10.1006/jsco.1998.0252</a>.'
  ieee: 'J. Klüners, “On Polynomial Decompositions,” <i>Journal of Symbolic Computation</i>,
    vol. 27, no. 3, pp. 261–269, 1999, doi: <a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>.'
  mla: Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i>,
    vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>.
  short: J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.
date_created: 2022-12-23T10:01:15Z
date_updated: 2023-03-06T09:21:29Z
department:
- _id: '102'
doi: 10.1006/jsco.1998.0252
intvolume: '        27'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 261-269
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Polynomial Decompositions
type: journal_article
user_id: '93826'
volume: 27
year: '1999'
...
---
_id: '40197'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Biorthogonal polynomials associated with reflection groups
    and a formula of Macdonald. <i>Journal of Computational and Applied Mathematics</i>.
    1998;99(1-2):337-351. doi:<a href="https://doi.org/10.1016/s0377-0427(98)00168-x">10.1016/s0377-0427(98)00168-x</a>
  apa: Rösler, M., &#38; Voit, M. (1998). Biorthogonal polynomials associated with
    reflection groups and a formula of Macdonald. <i>Journal of Computational and
    Applied Mathematics</i>, <i>99</i>(1–2), 337–351. <a href="https://doi.org/10.1016/s0377-0427(98)00168-x">https://doi.org/10.1016/s0377-0427(98)00168-x</a>
  bibtex: '@article{Rösler_Voit_1998, title={Biorthogonal polynomials associated with
    reflection groups and a formula of Macdonald}, volume={99}, DOI={<a href="https://doi.org/10.1016/s0377-0427(98)00168-x">10.1016/s0377-0427(98)00168-x</a>},
    number={1–2}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Rösler, Margit and Voit, Michael}, year={1998}, pages={337–351} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated
    with Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational
    and Applied Mathematics</i> 99, no. 1–2 (1998): 337–51. <a href="https://doi.org/10.1016/s0377-0427(98)00168-x">https://doi.org/10.1016/s0377-0427(98)00168-x</a>.'
  ieee: 'M. Rösler and M. Voit, “Biorthogonal polynomials associated with reflection
    groups and a formula of Macdonald,” <i>Journal of Computational and Applied Mathematics</i>,
    vol. 99, no. 1–2, pp. 337–351, 1998, doi: <a href="https://doi.org/10.1016/s0377-0427(98)00168-x">10.1016/s0377-0427(98)00168-x</a>.'
  mla: Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with
    Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational and
    Applied Mathematics</i>, vol. 99, no. 1–2, Elsevier BV, 1998, pp. 337–51, doi:<a
    href="https://doi.org/10.1016/s0377-0427(98)00168-x">10.1016/s0377-0427(98)00168-x</a>.
  short: M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998)
    337–351.
date_created: 2023-01-26T08:31:16Z
date_updated: 2023-01-26T17:41:01Z
department:
- _id: '555'
doi: 10.1016/s0377-0427(98)00168-x
extern: '1'
intvolume: '        99'
issue: 1-2
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 337-351
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: Biorthogonal polynomials associated with reflection groups and a formula of
  Macdonald
type: journal_article
user_id: '93826'
volume: 99
year: '1998'
...
---
_id: '40200'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Markov Processes Related with Dunkl Operators. <i>Advances
    in Applied Mathematics</i>. 1998;21(4):575-643. doi:<a href="https://doi.org/10.1006/aama.1998.0609">10.1006/aama.1998.0609</a>
  apa: Rösler, M., &#38; Voit, M. (1998). Markov Processes Related with Dunkl Operators.
    <i>Advances in Applied Mathematics</i>, <i>21</i>(4), 575–643. <a href="https://doi.org/10.1006/aama.1998.0609">https://doi.org/10.1006/aama.1998.0609</a>
  bibtex: '@article{Rösler_Voit_1998, title={Markov Processes Related with Dunkl Operators},
    volume={21}, DOI={<a href="https://doi.org/10.1006/aama.1998.0609">10.1006/aama.1998.0609</a>},
    number={4}, journal={Advances in Applied Mathematics}, publisher={Elsevier BV},
    author={Rösler, Margit and Voit, Michael}, year={1998}, pages={575–643} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl
    Operators.” <i>Advances in Applied Mathematics</i> 21, no. 4 (1998): 575–643.
    <a href="https://doi.org/10.1006/aama.1998.0609">https://doi.org/10.1006/aama.1998.0609</a>.'
  ieee: 'M. Rösler and M. Voit, “Markov Processes Related with Dunkl Operators,” <i>Advances
    in Applied Mathematics</i>, vol. 21, no. 4, pp. 575–643, 1998, doi: <a href="https://doi.org/10.1006/aama.1998.0609">10.1006/aama.1998.0609</a>.'
  mla: Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl Operators.”
    <i>Advances in Applied Mathematics</i>, vol. 21, no. 4, Elsevier BV, 1998, pp.
    575–643, doi:<a href="https://doi.org/10.1006/aama.1998.0609">10.1006/aama.1998.0609</a>.
  short: M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.
date_created: 2023-01-26T08:33:01Z
date_updated: 2023-01-26T17:40:21Z
department:
- _id: '555'
doi: 10.1006/aama.1998.0609
extern: '1'
intvolume: '        21'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 575-643
publication: Advances in Applied Mathematics
publication_identifier:
  issn:
  - 0196-8858
publication_status: published
publisher: Elsevier BV
status: public
title: Markov Processes Related with Dunkl Operators
type: journal_article
user_id: '93826'
volume: 21
year: '1998'
...
---
_id: '40205'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. An Uncertainty Principle for Ultraspherical Expansions. <i>Journal
    of Mathematical Analysis and Applications</i>. 1997;209(2):624-634. doi:<a href="https://doi.org/10.1006/jmaa.1997.5386">10.1006/jmaa.1997.5386</a>
  apa: Rösler, M., &#38; Voit, M. (1997). An Uncertainty Principle for Ultraspherical
    Expansions. <i>Journal of Mathematical Analysis and Applications</i>, <i>209</i>(2),
    624–634. <a href="https://doi.org/10.1006/jmaa.1997.5386">https://doi.org/10.1006/jmaa.1997.5386</a>
  bibtex: '@article{Rösler_Voit_1997, title={An Uncertainty Principle for Ultraspherical
    Expansions}, volume={209}, DOI={<a href="https://doi.org/10.1006/jmaa.1997.5386">10.1006/jmaa.1997.5386</a>},
    number={2}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier
    BV}, author={Rösler, Margit and Voit, Michael}, year={1997}, pages={624–634} }'
  chicago: 'Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical
    Expansions.” <i>Journal of Mathematical Analysis and Applications</i> 209, no.
    2 (1997): 624–34. <a href="https://doi.org/10.1006/jmaa.1997.5386">https://doi.org/10.1006/jmaa.1997.5386</a>.'
  ieee: 'M. Rösler and M. Voit, “An Uncertainty Principle for Ultraspherical Expansions,”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 209, no. 2, pp.
    624–634, 1997, doi: <a href="https://doi.org/10.1006/jmaa.1997.5386">10.1006/jmaa.1997.5386</a>.'
  mla: Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical
    Expansions.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 209,
    no. 2, Elsevier BV, 1997, pp. 624–34, doi:<a href="https://doi.org/10.1006/jmaa.1997.5386">10.1006/jmaa.1997.5386</a>.
  short: M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209
    (1997) 624–634.
date_created: 2023-01-26T08:38:11Z
date_updated: 2023-01-26T17:40:26Z
department:
- _id: '555'
doi: 10.1006/jmaa.1997.5386
extern: '1'
intvolume: '       209'
issue: '2'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 624-634
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
  issn:
  - 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: An Uncertainty Principle for Ultraspherical Expansions
type: journal_article
user_id: '93826'
volume: 209
year: '1997'
...
---
_id: '34903'
abstract:
- lang: eng
  text: The software packageKANT V4for computations in algebraic number fields is
    now available in version 4. In addition a new user interface has been released.
    We will outline the features of this new software package.
author:
- first_name: M.
  full_name: DABERKOW, M.
  last_name: DABERKOW
- first_name: C.
  full_name: FIEKER, C.
  last_name: FIEKER
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: M.
  full_name: POHST, M.
  last_name: POHST
- first_name: K.
  full_name: ROEGNER, K.
  last_name: ROEGNER
- first_name: M.
  full_name: SCHÖRNIG, M.
  last_name: SCHÖRNIG
- first_name: K.
  full_name: WILDANGER, K.
  last_name: WILDANGER
citation:
  ama: DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):267-283. doi:<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>
  apa: DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M.,
    &#38; WILDANGER, K. (1997). KANT V4. <i>Journal of Symbolic Computation</i>, <i>24</i>(3–4),
    267–283. <a href="https://doi.org/10.1006/jsco.1996.0126">https://doi.org/10.1006/jsco.1996.0126</a>
  bibtex: '@article{DABERKOW_FIEKER_Klüners_POHST_ROEGNER_SCHÖRNIG_WILDANGER_1997,
    title={KANT V4}, volume={24}, DOI={<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={DABERKOW, M. and FIEKER, C. and Klüners, Jürgen and POHST, M. and ROEGNER,
    K. and SCHÖRNIG, M. and WILDANGER, K.}, year={1997}, pages={267–283} }'
  chicago: 'DABERKOW, M., C. FIEKER, Jürgen Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG,
    and K. WILDANGER. “KANT V4.” <i>Journal of Symbolic Computation</i> 24, no. 3–4
    (1997): 267–83. <a href="https://doi.org/10.1006/jsco.1996.0126">https://doi.org/10.1006/jsco.1996.0126</a>.'
  ieee: 'M. DABERKOW <i>et al.</i>, “KANT V4,” <i>Journal of Symbolic Computation</i>,
    vol. 24, no. 3–4, pp. 267–283, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>.'
  mla: DABERKOW, M., et al. “KANT V4.” <i>Journal of Symbolic Computation</i>, vol.
    24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>.
  short: M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K.
    WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.
date_created: 2022-12-23T10:02:24Z
date_updated: 2023-03-06T09:23:30Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0126
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 267-283
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: KANT V4
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...
---
_id: '34904'
abstract:
- lang: eng
  text: The purpose of this article is to determine all subfields ℚ(β) of fixed degree
    of a given algebraic number field ℚ(α). It is convenient to describe each subfield
    by a pair (h,g) of polynomials in ℚ[t] resp. Z[t] such thatgis the minimal polynomial
    of β = h(α). The computations are done in unramifiedp-adic extensions and use
    information concerning subgroups of the Galois group of the normal closure of
    ℚ(α) obtained from the van der Waerden criterion.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Michael
  full_name: Pohst, Michael
  last_name: Pohst
citation:
  ama: Klüners J, Pohst M. On Computing Subfields. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):385-397. doi:<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>
  apa: Klüners, J., &#38; Pohst, M. (1997). On Computing Subfields. <i>Journal of
    Symbolic Computation</i>, <i>24</i>(3–4), 385–397. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>
  bibtex: '@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24},
    DOI={<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }'
  chicago: 'Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal
    of Symbolic Computation</i> 24, no. 3–4 (1997): 385–97. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>.'
  ieee: 'J. Klüners and M. Pohst, “On Computing Subfields,” <i>Journal of Symbolic
    Computation</i>, vol. 24, no. 3–4, pp. 385–397, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.'
  mla: Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal of
    Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:<a
    href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.
  short: J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
date_created: 2022-12-23T10:03:02Z
date_updated: 2023-03-06T10:36:21Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0140
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 385-397
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Computing Subfields
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...