---
_id: '51590'
citation:
  ama: Hilgert J, Hora A, Kawazoe T, Nishiyama K, Voit M, eds. <i>Infinite Dimensional
    Harmonic Analysis IV - On the Interplay between Representation Theory, Random
    Matrices, Special Functions, and Probability</i>. World Scientific; 2009.
  apa: Hilgert, J., Hora, A., Kawazoe, T., Nishiyama, K., &#38; Voit, M. (Eds.). (2009).
    <i>Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation
    Theory, Random Matrices, Special Functions, and Probability</i>. World Scientific.
  bibtex: '@book{Hilgert_Hora_Kawazoe_Nishiyama_Voit_2009, title={Infinite Dimensional
    Harmonic Analysis IV - On the Interplay between Representation Theory, Random
    Matrices, Special Functions, and Probability}, publisher={World Scientific}, year={2009}
    }'
  chicago: Hilgert, Joachim, A. Hora, T. Kawazoe, K. Nishiyama, and M Voit, eds. <i>Infinite
    Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory,
    Random Matrices, Special Functions, and Probability</i>. World Scientific, 2009.
  ieee: J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, and M. Voit, Eds., <i>Infinite
    Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory,
    Random Matrices, Special Functions, and Probability</i>. World Scientific, 2009.
  mla: Hilgert, Joachim, et al., editors. <i>Infinite Dimensional Harmonic Analysis
    IV - On the Interplay between Representation Theory, Random Matrices, Special
    Functions, and Probability</i>. World Scientific, 2009.
  short: J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, M. Voit, eds., Infinite Dimensional
    Harmonic Analysis IV - On the Interplay between Representation Theory, Random
    Matrices, Special Functions, and Probability, World Scientific, 2009.
date_created: 2024-02-20T12:44:08Z
date_updated: 2024-02-20T12:44:12Z
department:
- _id: '91'
editor:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A.
  full_name: Hora, A.
  last_name: Hora
- first_name: T.
  full_name: Kawazoe, T.
  last_name: Kawazoe
- first_name: K.
  full_name: Nishiyama, K.
  last_name: Nishiyama
- first_name: M
  full_name: Voit, M
  last_name: Voit
language:
- iso: eng
publication_status: published
publisher: World Scientific
status: public
title: Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation
  Theory, Random Matrices, Special Functions, and Probability
type: book_editor
user_id: '49063'
year: '2009'
...
---
_id: '39950'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Convolution algebras for multivariable Bessel functions. In: <i>Infinite
    Dimensional Harmonic Analysis IV</i>. World Scientific; 2009:255–271. doi:<a href="https://doi.org/10.1142/9789812832825_0017">10.1142/9789812832825_0017</a>'
  apa: Rösler, M. (2009). Convolution algebras for multivariable Bessel functions.
    <i>Infinite Dimensional Harmonic Analysis IV</i>, 255–271. <a href="https://doi.org/10.1142/9789812832825_0017">https://doi.org/10.1142/9789812832825_0017</a>
  bibtex: '@inproceedings{Rösler_2009, title={Convolution algebras for multivariable
    Bessel functions}, DOI={<a href="https://doi.org/10.1142/9789812832825_0017">10.1142/9789812832825_0017</a>},
    booktitle={Infinite Dimensional Harmonic Analysis IV}, publisher={World Scientific},
    author={Rösler, Margit}, year={2009}, pages={255–271} }'
  chicago: Rösler, Margit. “Convolution Algebras for Multivariable Bessel Functions.”
    In <i>Infinite Dimensional Harmonic Analysis IV</i>, 255–271. World Scientific,
    2009. <a href="https://doi.org/10.1142/9789812832825_0017">https://doi.org/10.1142/9789812832825_0017</a>.
  ieee: 'M. Rösler, “Convolution algebras for multivariable Bessel functions,” in
    <i>Infinite Dimensional Harmonic Analysis IV</i>, 2009, pp. 255–271, doi: <a href="https://doi.org/10.1142/9789812832825_0017">10.1142/9789812832825_0017</a>.'
  mla: Rösler, Margit. “Convolution Algebras for Multivariable Bessel Functions.”
    <i>Infinite Dimensional Harmonic Analysis IV</i>, World Scientific, 2009, pp.
    255–271, doi:<a href="https://doi.org/10.1142/9789812832825_0017">10.1142/9789812832825_0017</a>.
  short: 'M. Rösler, in: Infinite Dimensional Harmonic Analysis IV, World Scientific,
    2009, pp. 255–271.'
date_created: 2023-01-25T10:01:16Z
date_updated: 2023-01-26T17:48:43Z
department:
- _id: '555'
doi: 10.1142/9789812832825_0017
extern: '1'
language:
- iso: eng
page: ' 255–271'
publication: Infinite Dimensional Harmonic Analysis IV
publication_status: published
publisher: World Scientific
status: public
title: Convolution algebras for multivariable Bessel functions
type: conference
user_id: '37390'
year: '2009'
...
---
_id: '64682'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus. In: <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>. Berlin: Springer; 2009:171–186. doi:<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>'
  apa: 'Glöckner, H. (2009). Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus. In <i>Generalized Lie theory in mathematics, physics and
    beyond</i> (pp. 171–186). Berlin: Springer. <a href="https://doi.org/10.1007/978-3-540-85332-9_16">https://doi.org/10.1007/978-3-540-85332-9_16</a>'
  bibtex: '@inbook{Glöckner_2009, title={Applications of hypocontinuous bilinear maps
    in infinite-dimensional differential calculus}, DOI={<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>},
    booktitle={Generalized Lie theory in mathematics, physics and beyond}, publisher={Berlin:
    Springer}, author={Glöckner, Helge}, year={2009}, pages={171–186} }'
  chicago: 'Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional
    Differential Calculus.” In <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>, 171–186. Berlin: Springer, 2009. <a href="https://doi.org/10.1007/978-3-540-85332-9_16">https://doi.org/10.1007/978-3-540-85332-9_16</a>.'
  ieee: 'H. Glöckner, “Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus,” in <i>Generalized Lie theory in mathematics, physics and
    beyond</i>, Berlin: Springer, 2009, pp. 171–186.'
  mla: 'Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional
    Differential Calculus.” <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>, Berlin: Springer, 2009, pp. 171–186, doi:<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>.'
  short: 'H. Glöckner, in: Generalized Lie Theory in Mathematics, Physics and Beyond,
    Berlin: Springer, 2009, pp. 171–186.'
date_created: 2026-02-26T11:18:25Z
date_updated: 2026-02-26T11:19:09Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/978-3-540-85332-9_16
keyword:
- 46G20
- 46A99
- 47A07
language:
- iso: eng
page: 171–186
publication: Generalized Lie theory in mathematics, physics and beyond
publication_identifier:
  isbn:
  - 978-3-540-85331-2
publisher: 'Berlin: Springer'
quality_controlled: '1'
status: public
title: Applications of hypocontinuous bilinear maps in infinite-dimensional differential
  calculus
type: book_chapter
user_id: '178'
year: '2009'
...
---
_id: '64747'
author:
- first_name: Rafael
  full_name: Dahmen, Rafael
  last_name: Dahmen
citation:
  ama: Dahmen R. Lie Groups Associated to Hölder-Continuous Functions. Published online
    2009.
  apa: Dahmen, R. (2009). <i>Lie Groups Associated to Hölder-Continuous Functions</i>.
  bibtex: '@article{Dahmen_2009, title={Lie Groups Associated to Hölder-Continuous
    Functions}, author={Dahmen, Rafael}, year={2009} }'
  chicago: Dahmen, Rafael. “Lie Groups Associated to Hölder-Continuous Functions,”
    2009.
  ieee: R. Dahmen, “Lie Groups Associated to Hölder-Continuous Functions.” 2009.
  mla: Dahmen, Rafael. <i>Lie Groups Associated to Hölder-Continuous Functions</i>.
    2009.
  short: R. Dahmen, (2009).
date_created: 2026-02-26T20:14:19Z
date_updated: 2026-02-26T20:14:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - arXiv:0908.3843
language:
- iso: eng
status: public
title: Lie Groups Associated to Hölder-Continuous Functions
type: preprint
user_id: '178'
year: '2009'
...
---
_id: '64681'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  last_name: Glöckner
- first_name: Lutz G.
  full_name: Lucht, Lutz G.
  last_name: Lucht
- first_name: Štefan
  full_name: Porubský, Štefan
  last_name: Porubský
citation:
  ama: Glöckner H, Lucht LG, Porubský Š. General Dirichlet series, arithmetic convolution
    equations and Laplace transforms. <i>Studia Mathematica</i>. 2009;193(2):109–129.
    doi:<a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>
  apa: Glöckner, H., Lucht, L. G., &#38; Porubský, Š. (2009). General Dirichlet series,
    arithmetic convolution equations and Laplace transforms. <i>Studia Mathematica</i>,
    <i>193</i>(2), 109–129. <a href="https://doi.org/10.4064/sm193-2-2">https://doi.org/10.4064/sm193-2-2</a>
  bibtex: '@article{Glöckner_Lucht_Porubský_2009, title={General Dirichlet series,
    arithmetic convolution equations and Laplace transforms}, volume={193}, DOI={<a
    href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>}, number={2}, journal={Studia
    Mathematica}, author={Glöckner, Helge and Lucht, Lutz G. and Porubský, Štefan},
    year={2009}, pages={109–129} }'
  chicago: 'Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “General Dirichlet
    Series, Arithmetic Convolution Equations and Laplace Transforms.” <i>Studia Mathematica</i>
    193, no. 2 (2009): 109–129. <a href="https://doi.org/10.4064/sm193-2-2">https://doi.org/10.4064/sm193-2-2</a>.'
  ieee: 'H. Glöckner, L. G. Lucht, and Š. Porubský, “General Dirichlet series, arithmetic
    convolution equations and Laplace transforms,” <i>Studia Mathematica</i>, vol.
    193, no. 2, pp. 109–129, 2009, doi: <a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>.'
  mla: Glöckner, Helge, et al. “General Dirichlet Series, Arithmetic Convolution Equations
    and Laplace Transforms.” <i>Studia Mathematica</i>, vol. 193, no. 2, 2009, pp.
    109–129, doi:<a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>.
  short: H. Glöckner, L.G. Lucht, Š. Porubský, Studia Mathematica 193 (2009) 109–129.
date_created: 2026-02-26T11:17:15Z
date_updated: 2026-02-27T08:22:20Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4064/sm193-2-2
intvolume: '       193'
issue: '2'
keyword:
- 11A25
- 44A10
- 46H30
language:
- iso: eng
page: 109–129
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
quality_controlled: '1'
status: public
title: General Dirichlet series, arithmetic convolution equations and Laplace transforms
type: journal_article
user_id: '178'
volume: 193
year: '2009'
...
---
_id: '51407'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: F.
  full_name: Rilke, F.
  last_name: Rilke
citation:
  ama: Hilgert J, Rilke F. Meromorphic Continuation of Dynamical Zeta Functions via
    Transfer Operators. <i>J Funct Anal</i>. 2008;254:476-505.
  apa: Hilgert, J., &#38; Rilke, F. (2008). Meromorphic Continuation of Dynamical
    Zeta Functions via Transfer Operators. <i>J. Funct. Anal.</i>, <i>254</i>, 476–505.
  bibtex: '@article{Hilgert_Rilke_2008, title={Meromorphic Continuation of Dynamical
    Zeta Functions via Transfer Operators}, volume={254}, journal={J. Funct. Anal.},
    author={Hilgert, Joachim and Rilke, F.}, year={2008}, pages={476–505} }'
  chicago: 'Hilgert, Joachim, and F. Rilke. “Meromorphic Continuation of Dynamical
    Zeta Functions via Transfer Operators.” <i>J. Funct. Anal.</i> 254 (2008): 476–505.'
  ieee: J. Hilgert and F. Rilke, “Meromorphic Continuation of Dynamical Zeta Functions
    via Transfer Operators,” <i>J. Funct. Anal.</i>, vol. 254, pp. 476–505, 2008.
  mla: Hilgert, Joachim, and F. Rilke. “Meromorphic Continuation of Dynamical Zeta
    Functions via Transfer Operators.” <i>J. Funct. Anal.</i>, vol. 254, 2008, pp.
    476–505.
  short: J. Hilgert, F. Rilke, J. Funct. Anal. 254 (2008) 476–505.
date_created: 2024-02-19T07:04:07Z
date_updated: 2024-02-19T07:06:29Z
department:
- _id: '91'
intvolume: '       254'
language:
- iso: eng
page: 476-505
publication: J. Funct. Anal.
publication_status: published
status: public
title: Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators
type: journal_article
user_id: '49063'
volume: 254
year: '2008'
...
---
_id: '51406'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Mayer’s Transfer Operator and Representations of SL(2). <i>Semigroup
    Forum</i>. 2008;77:64-85.
  apa: Hilgert, J. (2008). Mayer’s Transfer Operator and Representations of SL(2).
    <i>Semigroup Forum</i>, <i>77</i>, 64–85.
  bibtex: '@article{Hilgert_2008, title={Mayer’s Transfer Operator and Representations
    of SL(2)}, volume={77}, journal={Semigroup Forum}, author={Hilgert, Joachim},
    year={2008}, pages={64–85} }'
  chicago: 'Hilgert, Joachim. “Mayer’s Transfer Operator and Representations of SL(2).”
    <i>Semigroup Forum</i> 77 (2008): 64–85.'
  ieee: J. Hilgert, “Mayer’s Transfer Operator and Representations of SL(2),” <i>Semigroup
    Forum</i>, vol. 77, pp. 64–85, 2008.
  mla: Hilgert, Joachim. “Mayer’s Transfer Operator and Representations of SL(2).”
    <i>Semigroup Forum</i>, vol. 77, 2008, pp. 64–85.
  short: J. Hilgert, Semigroup Forum 77 (2008) 64–85.
date_created: 2024-02-19T07:03:12Z
date_updated: 2024-02-19T07:06:28Z
department:
- _id: '91'
intvolume: '        77'
language:
- iso: eng
page: 64-85
publication: Semigroup Forum
publication_status: published
status: public
title: Mayer's Transfer Operator and Representations of SL(2)
type: journal_article
user_id: '49063'
volume: 77
year: '2008'
...
---
_id: '51546'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A. D.
  full_name: Pohl , A. D.
  last_name: 'Pohl '
citation:
  ama: Hilgert J, Pohl  AD. Symbolic dynamics for the geodesic flow on locally symmetric
    orbifolds of rank one. Published online 2008.
  apa: Hilgert, J., &#38; Pohl , A. D. (2008). <i>Symbolic dynamics for the geodesic
    flow on locally symmetric orbifolds of rank one</i>.
  bibtex: '@article{Hilgert_Pohl _2008, title={Symbolic dynamics for the geodesic
    flow on locally symmetric orbifolds of rank one}, author={Hilgert, Joachim and
    Pohl , A. D.}, year={2008} }'
  chicago: Hilgert, Joachim, and A. D. Pohl . “Symbolic Dynamics for the Geodesic
    Flow on Locally Symmetric Orbifolds of Rank One,” 2008.
  ieee: J. Hilgert and A. D. Pohl , “Symbolic dynamics for the geodesic flow on locally
    symmetric orbifolds of rank one.” 2008.
  mla: Hilgert, Joachim, and A. D. Pohl . <i>Symbolic Dynamics for the Geodesic Flow
    on Locally Symmetric Orbifolds of Rank One</i>. 2008.
  short: J. Hilgert, A.D. Pohl , (2008).
date_created: 2024-02-20T08:55:47Z
date_updated: 2024-02-20T08:56:28Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/abs/0806.2729
publication_status: published
status: public
title: Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank
  one
type: preprint
user_id: '49063'
year: '2008'
...
---
_id: '51545'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Attractor Networks on Complex Flag Manifolds. Published online 2008.
  apa: Hilgert, J. (2008). <i>Attractor Networks on Complex Flag Manifolds</i>.
  bibtex: '@article{Hilgert_2008, title={Attractor Networks on Complex Flag Manifolds},
    author={Hilgert, Joachim}, year={2008} }'
  chicago: Hilgert, Joachim. “Attractor Networks on Complex Flag Manifolds,” 2008.
  ieee: J. Hilgert, “Attractor Networks on Complex Flag Manifolds.” 2008.
  mla: Hilgert, Joachim. <i>Attractor Networks on Complex Flag Manifolds</i>. 2008.
  short: J. Hilgert, (2008).
date_created: 2024-02-20T08:55:03Z
date_updated: 2024-02-20T08:55:19Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/abs/0812.2573
publication_status: published
status: public
title: Attractor Networks on Complex Flag Manifolds
type: preprint
user_id: '49063'
year: '2008'
...
---
_id: '51602'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008).
    <i>Math Reviews</i>. Published online 2008.
  apa: Hilgert, J. (2008). Faraut, J. Analysis on Lie Groups (Cambridge University
    Press, 2008). In <i>Math. Reviews</i>.
  bibtex: '@article{Hilgert_2008, title={Faraut, J. Analysis on Lie Groups (Cambridge
    University Press, 2008)}, journal={Math. Reviews}, author={Hilgert, Joachim},
    year={2008} }'
  chicago: Hilgert, Joachim. “Faraut, J. Analysis on Lie Groups (Cambridge University
    Press, 2008).” <i>Math. Reviews</i>, 2008.
  ieee: J. Hilgert, “Faraut, J. Analysis on Lie Groups (Cambridge University Press,
    2008),” <i>Math. Reviews</i>. 2008.
  mla: Hilgert, Joachim. “Faraut, J. Analysis on Lie Groups (Cambridge University
    Press, 2008).” <i>Math. Reviews</i>, 2008.
  short: J. Hilgert, Math. Reviews (2008).
date_created: 2024-02-20T13:43:10Z
date_updated: 2024-02-20T13:43:14Z
department:
- _id: '91'
language:
- iso: eng
publication: Math. Reviews
publication_status: published
status: public
title: Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008)
type: review
user_id: '49063'
year: '2008'
...
---
_id: '39941'
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. A Limit Relation for Dunkl-Bessel Functions of Type A and
    B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>. 2008;4(083):9pp.
    doi:<a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>'
  apa: 'Rösler, M., &#38; Voit, M. (2008). A Limit Relation for Dunkl-Bessel Functions
    of Type A and B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>,
    <i>4</i>(083), 9pp. <a href="https://doi.org/10.3842/sigma.2008.083">https://doi.org/10.3842/sigma.2008.083</a>'
  bibtex: '@article{Rösler_Voit_2008, title={A Limit Relation for Dunkl-Bessel Functions
    of Type A and B}, volume={4}, DOI={<a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>},
    number={083}, journal={Symmetry, Integrability and Geometry: Methods and Applications},
    publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)},
    author={Rösler, Margit and Voit, Michael}, year={2008}, pages={9pp} }'
  chicago: 'Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions
    of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>
    4, no. 083 (2008): 9pp. <a href="https://doi.org/10.3842/sigma.2008.083">https://doi.org/10.3842/sigma.2008.083</a>.'
  ieee: 'M. Rösler and M. Voit, “A Limit Relation for Dunkl-Bessel Functions of Type
    A and B,” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>,
    vol. 4, no. 083, p. 9pp, 2008, doi: <a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>.'
  mla: 'Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions
    of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>,
    vol. 4, no. 083, SIGMA (Symmetry, Integrability and Geometry: Methods and Application),
    2008, p. 9pp, doi:<a href="https://doi.org/10.3842/sigma.2008.083">10.3842/sigma.2008.083</a>.'
  short: 'M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications
    4 (2008) 9pp.'
date_created: 2023-01-25T09:50:01Z
date_updated: 2023-01-26T17:47:57Z
department:
- _id: '555'
doi: 10.3842/sigma.2008.083
extern: '1'
intvolume: '         4'
issue: '083'
keyword:
- Geometry and Topology
- Mathematical Physics
- Analysis
language:
- iso: eng
page: 9pp
publication: 'Symmetry, Integrability and Geometry: Methods and Applications'
publication_identifier:
  issn:
  - 1815-0659
publication_status: published
publisher: 'SIGMA (Symmetry, Integrability and Geometry: Methods and Application)'
status: public
title: A Limit Relation for Dunkl-Bessel Functions of Type A and B
type: journal_article
user_id: '93826'
volume: 4
year: '2008'
...
---
_id: '64639'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Homotopy groups of ascending unions of infinite-dimensional manifolds.
    Published online 2008.
  apa: Glöckner, H. (2008). <i>Homotopy groups of ascending unions of infinite-dimensional
    manifolds</i>.
  bibtex: '@article{Glöckner_2008, title={Homotopy groups of ascending unions of infinite-dimensional
    manifolds}, author={Glöckner, Helge}, year={2008} }'
  chicago: Glöckner, Helge. “Homotopy Groups of Ascending Unions of Infinite-Dimensional
    Manifolds,” 2008.
  ieee: H. Glöckner, “Homotopy groups of ascending unions of infinite-dimensional
    manifolds.” 2008.
  mla: Glöckner, Helge. <i>Homotopy Groups of Ascending Unions of Infinite-Dimensional
    Manifolds</i>. 2008.
  short: H. Glöckner, (2008).
date_created: 2026-02-26T07:31:41Z
date_updated: 2026-02-26T07:32:14Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - arXiv:0812.4713
language:
- iso: eng
status: public
title: Homotopy groups of ascending unions of infinite-dimensional manifolds
type: preprint
user_id: '178'
year: '2008'
...
---
_id: '64685'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Ultrametric and non-locally convex analogues of the general curve
    Lemma of convenient differential calculus. <i>Glasgow Mathematical Journal</i>.
    2008;50(2):271–288. doi:<a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>
  apa: Glöckner, H. (2008). Ultrametric and non-locally convex analogues of the general
    curve Lemma of convenient differential calculus. <i>Glasgow Mathematical Journal</i>,
    <i>50</i>(2), 271–288. <a href="https://doi.org/10.1017/S0017089508004199">https://doi.org/10.1017/S0017089508004199</a>
  bibtex: '@article{Glöckner_2008, title={Ultrametric and non-locally convex analogues
    of the general curve Lemma of convenient differential calculus}, volume={50},
    DOI={<a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>},
    number={2}, journal={Glasgow Mathematical Journal}, author={Glöckner, Helge},
    year={2008}, pages={271–288} }'
  chicago: 'Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the
    General Curve Lemma of Convenient Differential Calculus.” <i>Glasgow Mathematical
    Journal</i> 50, no. 2 (2008): 271–288. <a href="https://doi.org/10.1017/S0017089508004199">https://doi.org/10.1017/S0017089508004199</a>.'
  ieee: 'H. Glöckner, “Ultrametric and non-locally convex analogues of the general
    curve Lemma of convenient differential calculus,” <i>Glasgow Mathematical Journal</i>,
    vol. 50, no. 2, pp. 271–288, 2008, doi: <a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>.'
  mla: Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General
    Curve Lemma of Convenient Differential Calculus.” <i>Glasgow Mathematical Journal</i>,
    vol. 50, no. 2, 2008, pp. 271–288, doi:<a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>.
  short: H. Glöckner, Glasgow Mathematical Journal 50 (2008) 271–288.
date_created: 2026-02-26T11:22:06Z
date_updated: 2026-02-27T08:19:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1017/S0017089508004199
intvolume: '        50'
issue: '2'
keyword:
- '26E15'
- '26E20'
- '26E30'
- 46A16
- 46S10
language:
- iso: eng
page: 271–288
publication: Glasgow Mathematical Journal
publication_identifier:
  issn:
  - 0017-0895
quality_controlled: '1'
status: public
title: Ultrametric and non-locally convex analogues of the general curve Lemma of
  convenient differential calculus
type: journal_article
user_id: '178'
volume: 50
year: '2008'
...
---
_id: '64684'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Solutions to open problems in Neeb’s recent survey on infinite-dimensional
    Lie groups. <i>Geometriae Dedicata</i>. 2008;135:71–86. doi:<a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>
  apa: Glöckner, H. (2008). Solutions to open problems in Neeb’s recent survey on
    infinite-dimensional Lie groups. <i>Geometriae Dedicata</i>, <i>135</i>, 71–86.
    <a href="https://doi.org/10.1007/s10711-008-9263-z">https://doi.org/10.1007/s10711-008-9263-z</a>
  bibtex: '@article{Glöckner_2008, title={Solutions to open problems in Neeb’s recent
    survey on infinite-dimensional Lie groups}, volume={135}, DOI={<a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>},
    journal={Geometriae Dedicata}, author={Glöckner, Helge}, year={2008}, pages={71–86}
    }'
  chicago: 'Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on
    Infinite-Dimensional Lie Groups.” <i>Geometriae Dedicata</i> 135 (2008): 71–86.
    <a href="https://doi.org/10.1007/s10711-008-9263-z">https://doi.org/10.1007/s10711-008-9263-z</a>.'
  ieee: 'H. Glöckner, “Solutions to open problems in Neeb’s recent survey on infinite-dimensional
    Lie groups,” <i>Geometriae Dedicata</i>, vol. 135, pp. 71–86, 2008, doi: <a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>.'
  mla: Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on Infinite-Dimensional
    Lie Groups.” <i>Geometriae Dedicata</i>, vol. 135, 2008, pp. 71–86, doi:<a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>.
  short: H. Glöckner, Geometriae Dedicata 135 (2008) 71–86.
date_created: 2026-02-26T11:20:56Z
date_updated: 2026-02-27T08:21:15Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10711-008-9263-z
intvolume: '       135'
keyword:
- '22E65'
language:
- iso: eng
page: 71–86
publication: Geometriae Dedicata
publication_identifier:
  issn:
  - 0046-5755
quality_controlled: '1'
status: public
title: Solutions to open problems in Neeb’s recent survey on infinite-dimensional
  Lie groups
type: journal_article
user_id: '178'
volume: 135
year: '2008'
...
---
_id: '64683'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Contractible Lie groups over local fields. <i>Mathematische Zeitschrift</i>.
    2008;260(4):889–904. doi:<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>
  apa: Glöckner, H. (2008). Contractible Lie groups over local fields. <i>Mathematische
    Zeitschrift</i>, <i>260</i>(4), 889–904. <a href="https://doi.org/10.1007/s00209-008-0305-x">https://doi.org/10.1007/s00209-008-0305-x</a>
  bibtex: '@article{Glöckner_2008, title={Contractible Lie groups over local fields},
    volume={260}, DOI={<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>},
    number={4}, journal={Mathematische Zeitschrift}, author={Glöckner, Helge}, year={2008},
    pages={889–904} }'
  chicago: 'Glöckner, Helge. “Contractible Lie Groups over Local Fields.” <i>Mathematische
    Zeitschrift</i> 260, no. 4 (2008): 889–904. <a href="https://doi.org/10.1007/s00209-008-0305-x">https://doi.org/10.1007/s00209-008-0305-x</a>.'
  ieee: 'H. Glöckner, “Contractible Lie groups over local fields,” <i>Mathematische
    Zeitschrift</i>, vol. 260, no. 4, pp. 889–904, 2008, doi: <a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>.'
  mla: Glöckner, Helge. “Contractible Lie Groups over Local Fields.” <i>Mathematische
    Zeitschrift</i>, vol. 260, no. 4, 2008, pp. 889–904, doi:<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>.
  short: H. Glöckner, Mathematische Zeitschrift 260 (2008) 889–904.
date_created: 2026-02-26T11:19:31Z
date_updated: 2026-02-27T08:21:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s00209-008-0305-x
intvolume: '       260'
issue: '4'
keyword:
- '22E20'
- '22E60'
language:
- iso: eng
page: 889–904
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
quality_controlled: '1'
status: public
title: Contractible Lie groups over local fields
type: journal_article
user_id: '178'
volume: 260
year: '2008'
...
---
_id: '51408'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A.
  full_name: Deitmar, A.
  last_name: Deitmar
citation:
  ama: Hilgert J, Deitmar A. The Lewis Correspondence for Submodular Groups. <i>Forum
    Math</i>. 2007;19:1075-1099.
  apa: Hilgert, J., &#38; Deitmar, A. (2007). The Lewis Correspondence for Submodular
    Groups. <i>Forum Math.</i>, <i>19</i>, 1075–1099.
  bibtex: '@article{Hilgert_Deitmar_2007, title={The Lewis Correspondence for Submodular
    Groups}, volume={19}, journal={Forum Math.}, author={Hilgert, Joachim and Deitmar,
    A.}, year={2007}, pages={1075–1099} }'
  chicago: 'Hilgert, Joachim, and A. Deitmar. “The Lewis Correspondence for Submodular
    Groups.” <i>Forum Math.</i> 19 (2007): 1075–99.'
  ieee: J. Hilgert and A. Deitmar, “The Lewis Correspondence for Submodular Groups,”
    <i>Forum Math.</i>, vol. 19, pp. 1075–1099, 2007.
  mla: Hilgert, Joachim, and A. Deitmar. “The Lewis Correspondence for Submodular
    Groups.” <i>Forum Math.</i>, vol. 19, 2007, pp. 1075–99.
  short: J. Hilgert, A. Deitmar, Forum Math. 19 (2007) 1075–1099.
date_created: 2024-02-19T07:04:51Z
date_updated: 2024-02-19T07:06:29Z
department:
- _id: '91'
intvolume: '        19'
language:
- iso: eng
page: 1075-1099
publication: Forum Math.
publication_status: published
status: public
title: The Lewis Correspondence for Submodular Groups
type: journal_article
user_id: '49063'
volume: 19
year: '2007'
...
---
_id: '51601'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007).
    <i>Math Reviews</i>. Published online 2007.
  apa: Hilgert, J. (2007). Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS,
    2007). In <i>Math. Reviews</i>.
  bibtex: '@article{Hilgert_2007, title={Wolf, J..A. Harmonic Analysis on Commutative
    Spaces (AMS, 2007)}, journal={Math. Reviews}, author={Hilgert, Joachim}, year={2007}
    }'
  chicago: Hilgert, Joachim. “Wolf, J..A. Harmonic Analysis on Commutative Spaces
    (AMS, 2007).” <i>Math. Reviews</i>, 2007.
  ieee: J. Hilgert, “Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007),”
    <i>Math. Reviews</i>. 2007.
  mla: Hilgert, Joachim. “Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS,
    2007).” <i>Math. Reviews</i>, 2007.
  short: J. Hilgert, Math. Reviews (2007).
date_created: 2024-02-20T13:42:40Z
date_updated: 2024-02-20T13:43:14Z
department:
- _id: '91'
language:
- iso: eng
publication: Math. Reviews
publication_status: published
status: public
title: Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007)
type: review
user_id: '49063'
year: '2007'
...
---
_id: '51600'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Procesi, C. Lie Groups (Springer, 2007). <i>JBer DMV</i>. Published
    online 2007.
  apa: Hilgert, J. (2007). Procesi, C. Lie Groups (Springer, 2007). In <i>JBer. DMV</i>.
  bibtex: '@article{Hilgert_2007, title={Procesi, C. Lie Groups (Springer, 2007)},
    journal={JBer. DMV}, author={Hilgert, Joachim}, year={2007} }'
  chicago: Hilgert, Joachim. “Procesi, C. Lie Groups (Springer, 2007).” <i>JBer. DMV</i>,
    2007.
  ieee: J. Hilgert, “Procesi, C. Lie Groups (Springer, 2007),” <i>JBer. DMV</i>. 2007.
  mla: Hilgert, Joachim. “Procesi, C. Lie Groups (Springer, 2007).” <i>JBer. DMV</i>,
    2007.
  short: J. Hilgert, JBer. DMV (2007).
date_created: 2024-02-20T13:42:12Z
date_updated: 2024-02-20T13:43:15Z
department:
- _id: '91'
language:
- iso: eng
publication: JBer. DMV
publication_status: published
status: public
title: Procesi, C. Lie Groups (Springer, 2007)
type: review
user_id: '49063'
year: '2007'
...
---
_id: '39947'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. Bessel convolutions on matrix cones. <i>Compositio Mathematica</i>.
    2007;143(03):749-779. doi:<a href="https://doi.org/10.1112/s0010437x06002594">10.1112/s0010437x06002594</a>
  apa: Rösler, M. (2007). Bessel convolutions on matrix cones. <i>Compositio Mathematica</i>,
    <i>143</i>(03), 749–779. <a href="https://doi.org/10.1112/s0010437x06002594">https://doi.org/10.1112/s0010437x06002594</a>
  bibtex: '@article{Rösler_2007, title={Bessel convolutions on matrix cones}, volume={143},
    DOI={<a href="https://doi.org/10.1112/s0010437x06002594">10.1112/s0010437x06002594</a>},
    number={03}, journal={Compositio Mathematica}, publisher={Wiley}, author={Rösler,
    Margit}, year={2007}, pages={749–779} }'
  chicago: 'Rösler, Margit. “Bessel Convolutions on Matrix Cones.” <i>Compositio Mathematica</i>
    143, no. 03 (2007): 749–79. <a href="https://doi.org/10.1112/s0010437x06002594">https://doi.org/10.1112/s0010437x06002594</a>.'
  ieee: 'M. Rösler, “Bessel convolutions on matrix cones,” <i>Compositio Mathematica</i>,
    vol. 143, no. 03, pp. 749–779, 2007, doi: <a href="https://doi.org/10.1112/s0010437x06002594">10.1112/s0010437x06002594</a>.'
  mla: Rösler, Margit. “Bessel Convolutions on Matrix Cones.” <i>Compositio Mathematica</i>,
    vol. 143, no. 03, Wiley, 2007, pp. 749–79, doi:<a href="https://doi.org/10.1112/s0010437x06002594">10.1112/s0010437x06002594</a>.
  short: M. Rösler, Compositio Mathematica 143 (2007) 749–779.
date_created: 2023-01-25T09:55:18Z
date_updated: 2023-01-26T17:47:42Z
department:
- _id: '555'
doi: 10.1112/s0010437x06002594
extern: '1'
intvolume: '       143'
issue: '03'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 749-779
publication: Compositio Mathematica
publication_identifier:
  issn:
  - 0010-437X
  - 1570-5846
publication_status: published
publisher: Wiley
status: public
title: Bessel convolutions on matrix cones
type: journal_article
user_id: '93826'
volume: 143
year: '2007'
...
---
_id: '64691'
abstract:
- lang: eng
  text: We show that countable direct limits of finite-dimensional Lie groups do not
    have small subgroups. The same conclusion is obtained for suitable direct limits
    of infinite-dimensional Lie groups.
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Direct limit groups do not have small subgroups. <i>Topology and
    its Applications</i>. 2007;154(6):1126-1133. doi:<a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>
  apa: Glöckner, H. (2007). Direct limit groups do not have small subgroups. <i>Topology
    and Its Applications</i>, <i>154</i>(6), 1126–1133. <a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>
  bibtex: '@article{Glöckner_2007, title={Direct limit groups do not have small subgroups},
    volume={154}, DOI={<a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>},
    number={6}, journal={Topology and its Applications}, author={Glöckner, Helge},
    year={2007}, pages={1126–1133} }'
  chicago: 'Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology
    and Its Applications</i> 154, no. 6 (2007): 1126–33. <a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>.'
  ieee: 'H. Glöckner, “Direct limit groups do not have small subgroups,” <i>Topology
    and its Applications</i>, vol. 154, no. 6, pp. 1126–1133, 2007, doi: <a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>.'
  mla: Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology
    and Its Applications</i>, vol. 154, no. 6, 2007, pp. 1126–33, doi:<a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>.
  short: H. Glöckner, Topology and Its Applications 154 (2007) 1126–1133.
date_created: 2026-02-26T11:43:06Z
date_updated: 2026-02-26T11:44:04Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: https://doi.org/10.1016/j.topol.2006.11.003
extern: '1'
intvolume: '       154'
issue: '6'
keyword:
- Infinite-dimensional Lie group
- Direct limit group
- Direct limit
- Inductive limit
- Small subgroup
- Torsion subgroup
language:
- iso: eng
page: 1126-1133
publication: Topology and its Applications
publication_identifier:
  issn:
  - 0166-8641
quality_controlled: '1'
status: public
title: Direct limit groups do not have small subgroups
type: journal_article
user_id: '178'
volume: 154
year: '2007'
...
