---
_id: '39911'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: H.
  full_name: Remling, H.
  last_name: Remling
citation:
  ama: Rösler M, Remling H. The Heat Semigroup in the Compact Heckman-Opdam Setting
    and the Segal-Bargmann Transform. <i>International Mathematics Research Notices</i>.
    2011;(18):4200–4225. doi:<a href="https://doi.org/10.1093/imrn/rnq239">10.1093/imrn/rnq239</a>
  apa: Rösler, M., &#38; Remling, H. (2011). The Heat Semigroup in the Compact Heckman-Opdam
    Setting and the Segal-Bargmann Transform. <i>International Mathematics Research
    Notices</i>, <i>18</i>, 4200–4225. <a href="https://doi.org/10.1093/imrn/rnq239">https://doi.org/10.1093/imrn/rnq239</a>
  bibtex: '@article{Rösler_Remling_2011, title={The Heat Semigroup in the Compact
    Heckman-Opdam Setting and the Segal-Bargmann Transform}, DOI={<a href="https://doi.org/10.1093/imrn/rnq239">10.1093/imrn/rnq239</a>},
    number={18}, journal={International Mathematics Research Notices}, publisher={Oxford
    University Press (OUP)}, author={Rösler, Margit and Remling, H.}, year={2011},
    pages={4200–4225} }'
  chicago: 'Rösler, Margit, and H. Remling. “The Heat Semigroup in the Compact Heckman-Opdam
    Setting and the Segal-Bargmann Transform.” <i>International Mathematics Research
    Notices</i>, no. 18 (2011): 4200–4225. <a href="https://doi.org/10.1093/imrn/rnq239">https://doi.org/10.1093/imrn/rnq239</a>.'
  ieee: 'M. Rösler and H. Remling, “The Heat Semigroup in the Compact Heckman-Opdam
    Setting and the Segal-Bargmann Transform,” <i>International Mathematics Research
    Notices</i>, no. 18, pp. 4200–4225, 2011, doi: <a href="https://doi.org/10.1093/imrn/rnq239">10.1093/imrn/rnq239</a>.'
  mla: Rösler, Margit, and H. Remling. “The Heat Semigroup in the Compact Heckman-Opdam
    Setting and the Segal-Bargmann Transform.” <i>International Mathematics Research
    Notices</i>, no. 18, Oxford University Press (OUP), 2011, pp. 4200–4225, doi:<a
    href="https://doi.org/10.1093/imrn/rnq239">10.1093/imrn/rnq239</a>.
  short: M. Rösler, H. Remling, International Mathematics Research Notices (2011)
    4200–4225.
date_created: 2023-01-25T09:26:07Z
date_updated: 2023-01-26T17:50:05Z
department:
- _id: '555'
doi: 10.1093/imrn/rnq239
extern: '1'
issue: '18'
keyword:
- General Mathematics
language:
- iso: eng
page: 4200–4225
publication: International Mathematics Research Notices
publication_identifier:
  issn:
  - 1073-7928
  - 1687-0247
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann
  Transform
type: journal_article
user_id: '93826'
year: '2011'
...
---
_id: '39921'
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. Limit theorems for radial random walks on p × q-matrices
    as p tends to infinity. <i>Mathematische Nachrichten</i>. 2011;284(1):87-104.
    doi:<a href="https://doi.org/10.1002/mana.200710235">10.1002/mana.200710235</a>
  apa: Rösler, M., &#38; Voit, M. (2011). Limit theorems for radial random walks on
    p × q-matrices as p tends to infinity. <i>Mathematische Nachrichten</i>, <i>284</i>(1),
    87–104. <a href="https://doi.org/10.1002/mana.200710235">https://doi.org/10.1002/mana.200710235</a>
  bibtex: '@article{Rösler_Voit_2011, title={Limit theorems for radial random walks
    on p × q-matrices as p tends to infinity}, volume={284}, DOI={<a href="https://doi.org/10.1002/mana.200710235">10.1002/mana.200710235</a>},
    number={1}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Rösler,
    Margit and Voit, Michael}, year={2011}, pages={87–104} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Limit Theorems for Radial Random Walks
    on p × Q-Matrices as p Tends to Infinity.” <i>Mathematische Nachrichten</i> 284,
    no. 1 (2011): 87–104. <a href="https://doi.org/10.1002/mana.200710235">https://doi.org/10.1002/mana.200710235</a>.'
  ieee: 'M. Rösler and M. Voit, “Limit theorems for radial random walks on p × q-matrices
    as p tends to infinity,” <i>Mathematische Nachrichten</i>, vol. 284, no. 1, pp.
    87–104, 2011, doi: <a href="https://doi.org/10.1002/mana.200710235">10.1002/mana.200710235</a>.'
  mla: Rösler, Margit, and Michael Voit. “Limit Theorems for Radial Random Walks on
    p × Q-Matrices as p Tends to Infinity.” <i>Mathematische Nachrichten</i>, vol.
    284, no. 1, Wiley, 2011, pp. 87–104, doi:<a href="https://doi.org/10.1002/mana.200710235">10.1002/mana.200710235</a>.
  short: M. Rösler, M. Voit, Mathematische Nachrichten 284 (2011) 87–104.
date_created: 2023-01-25T09:30:21Z
date_updated: 2023-01-26T17:50:51Z
department:
- _id: '555'
doi: 10.1002/mana.200710235
extern: '1'
intvolume: '       284'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 87-104
publication: Mathematische Nachrichten
publication_identifier:
  issn:
  - 0025-584X
publication_status: published
publisher: Wiley
status: public
title: Limit theorems for radial random walks on p × q-matrices as p tends to infinity
type: journal_article
user_id: '93826'
volume: 284
year: '2011'
...
---
_id: '39924'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. Positive convolution structure for a class of Heckman–Opdam hypergeometric
    functions of type BC. <i>Journal of Functional Analysis</i>. 2010;258(8):2779-2800.
    doi:<a href="https://doi.org/10.1016/j.jfa.2009.12.007">10.1016/j.jfa.2009.12.007</a>
  apa: Rösler, M. (2010). Positive convolution structure for a class of Heckman–Opdam
    hypergeometric functions of type BC. <i>Journal of Functional Analysis</i>, <i>258</i>(8),
    2779–2800. <a href="https://doi.org/10.1016/j.jfa.2009.12.007">https://doi.org/10.1016/j.jfa.2009.12.007</a>
  bibtex: '@article{Rösler_2010, title={Positive convolution structure for a class
    of Heckman–Opdam hypergeometric functions of type BC}, volume={258}, DOI={<a href="https://doi.org/10.1016/j.jfa.2009.12.007">10.1016/j.jfa.2009.12.007</a>},
    number={8}, journal={Journal of Functional Analysis}, publisher={Elsevier BV},
    author={Rösler, Margit}, year={2010}, pages={2779–2800} }'
  chicago: 'Rösler, Margit. “Positive Convolution Structure for a Class of Heckman–Opdam
    Hypergeometric Functions of Type BC.” <i>Journal of Functional Analysis</i> 258,
    no. 8 (2010): 2779–2800. <a href="https://doi.org/10.1016/j.jfa.2009.12.007">https://doi.org/10.1016/j.jfa.2009.12.007</a>.'
  ieee: 'M. Rösler, “Positive convolution structure for a class of Heckman–Opdam hypergeometric
    functions of type BC,” <i>Journal of Functional Analysis</i>, vol. 258, no. 8,
    pp. 2779–2800, 2010, doi: <a href="https://doi.org/10.1016/j.jfa.2009.12.007">10.1016/j.jfa.2009.12.007</a>.'
  mla: Rösler, Margit. “Positive Convolution Structure for a Class of Heckman–Opdam
    Hypergeometric Functions of Type BC.” <i>Journal of Functional Analysis</i>, vol.
    258, no. 8, Elsevier BV, 2010, pp. 2779–800, doi:<a href="https://doi.org/10.1016/j.jfa.2009.12.007">10.1016/j.jfa.2009.12.007</a>.
  short: M. Rösler, Journal of Functional Analysis 258 (2010) 2779–2800.
date_created: 2023-01-25T09:32:04Z
date_updated: 2023-01-26T17:48:56Z
department:
- _id: '555'
doi: 10.1016/j.jfa.2009.12.007
extern: '1'
intvolume: '       258'
issue: '8'
keyword:
- Analysis
language:
- iso: eng
page: 2779-2800
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
publication_status: published
publisher: Elsevier BV
status: public
title: Positive convolution structure for a class of Heckman–Opdam hypergeometric
  functions of type BC
type: journal_article
user_id: '93826'
volume: 258
year: '2010'
...
---
_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: '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: '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: '39948'
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. SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean
    Counterparts. <i>Acta Applicandae Mathematicae</i>. 2006;90(1-2):179-195. doi:<a
    href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>
  apa: Rösler, M., &#38; Voit, M. (2006). SU(d)-Biinvariant Random Walks on SL(d,C)
    and their Euclidean Counterparts. <i>Acta Applicandae Mathematicae</i>, <i>90</i>(1–2),
    179–195. <a href="https://doi.org/10.1007/s10440-006-9035-4">https://doi.org/10.1007/s10440-006-9035-4</a>
  bibtex: '@article{Rösler_Voit_2006, title={SU(d)-Biinvariant Random Walks on SL(d,C)
    and their Euclidean Counterparts}, volume={90}, DOI={<a href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>},
    number={1–2}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science
    and Business Media LLC}, author={Rösler, Margit and Voit, Michael}, year={2006},
    pages={179–195} }'
  chicago: 'Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C)
    and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i> 90, no.
    1–2 (2006): 179–95. <a href="https://doi.org/10.1007/s10440-006-9035-4">https://doi.org/10.1007/s10440-006-9035-4</a>.'
  ieee: 'M. Rösler and M. Voit, “SU(d)-Biinvariant Random Walks on SL(d,C) and their
    Euclidean Counterparts,” <i>Acta Applicandae Mathematicae</i>, vol. 90, no. 1–2,
    pp. 179–195, 2006, doi: <a href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>.'
  mla: Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C)
    and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i>, vol.
    90, no. 1–2, Springer Science and Business Media LLC, 2006, pp. 179–95, doi:<a
    href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>.
  short: M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
date_created: 2023-01-25T09:57:30Z
date_updated: 2023-01-26T17:47:14Z
department:
- _id: '555'
doi: 10.1007/s10440-006-9035-4
extern: '1'
intvolume: '        90'
issue: 1-2
keyword:
- Applied Mathematics
language:
- iso: eng
page: 179-195
publication: Acta Applicandae Mathematicae
publication_identifier:
  issn:
  - 0167-8019
  - 1572-9036
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts
type: journal_article
user_id: '37390'
volume: 90
year: '2006'
...
---
_id: '39951'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Holger
  full_name: Rauhut, Holger
  last_name: Rauhut
citation:
  ama: Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. <i>Constructive
    Approximation</i>. 2005;22(2):193-218. doi:<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>
  apa: Rösler, M., &#38; Rauhut, H. (2005). Radial Multiresolution in Dimension Three.
    <i>Constructive Approximation</i>, <i>22</i>(2), 193–218. <a href="https://doi.org/10.1007/s00365-004-0587-0">https://doi.org/10.1007/s00365-004-0587-0</a>
  bibtex: '@article{Rösler_Rauhut_2005, title={Radial Multiresolution in Dimension
    Three}, volume={22}, DOI={<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>},
    number={2}, journal={Constructive Approximation}, publisher={Springer Science
    and Business Media LLC}, author={Rösler, Margit and Rauhut, Holger}, year={2005},
    pages={193–218} }'
  chicago: 'Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension
    Three.” <i>Constructive Approximation</i> 22, no. 2 (2005): 193–218. <a href="https://doi.org/10.1007/s00365-004-0587-0">https://doi.org/10.1007/s00365-004-0587-0</a>.'
  ieee: 'M. Rösler and H. Rauhut, “Radial Multiresolution in Dimension Three,” <i>Constructive
    Approximation</i>, vol. 22, no. 2, pp. 193–218, 2005, doi: <a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>.'
  mla: Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.”
    <i>Constructive Approximation</i>, vol. 22, no. 2, Springer Science and Business
    Media LLC, 2005, pp. 193–218, doi:<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>.
  short: M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.
date_created: 2023-01-25T10:04:35Z
date_updated: 2023-01-26T17:44:30Z
department:
- _id: '555'
doi: 10.1007/s00365-004-0587-0
extern: '1'
intvolume: '        22'
issue: '2'
keyword:
- Computational Mathematics
- General Mathematics
- Analysis
language:
- iso: eng
page: 193-218
publication: Constructive Approximation
publication_identifier:
  issn:
  - 0176-4276
  - 1432-0940
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Radial Multiresolution in Dimension Three
type: journal_article
user_id: '93826'
volume: 22
year: '2005'
...
---
_id: '39949'
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. Deformations of convolution semigroups on commutative hypergroups.
    In: <i>Infinite Dimensional Harmonic Analysis III</i>. World Scientific Publ.;
    2005:249–264. doi:<a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>'
  apa: Rösler, M., &#38; VOIT, M. (2005). Deformations of convolution semigroups on
    commutative hypergroups. <i>Infinite Dimensional Harmonic Analysis III</i>, 249–264.
    <a href="https://doi.org/10.1142/9789812701503_0016">https://doi.org/10.1142/9789812701503_0016</a>
  bibtex: '@inproceedings{Rösler_VOIT_2005, title={Deformations of convolution semigroups
    on commutative hypergroups}, DOI={<a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>},
    booktitle={Infinite Dimensional Harmonic Analysis III}, publisher={World Scientific
    Publ.}, author={Rösler, Margit and VOIT, MICHAEL}, year={2005}, pages={249–264}
    }'
  chicago: Rösler, Margit, and MICHAEL VOIT. “Deformations of Convolution Semigroups
    on Commutative Hypergroups.” In <i>Infinite Dimensional Harmonic Analysis III</i>,
    249–264. World Scientific Publ., 2005. <a href="https://doi.org/10.1142/9789812701503_0016">https://doi.org/10.1142/9789812701503_0016</a>.
  ieee: 'M. Rösler and M. VOIT, “Deformations of convolution semigroups on commutative
    hypergroups,” in <i>Infinite Dimensional Harmonic Analysis III</i>, 2005, pp.
    249–264, doi: <a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>.'
  mla: Rösler, Margit, and MICHAEL VOIT. “Deformations of Convolution Semigroups on
    Commutative Hypergroups.” <i>Infinite Dimensional Harmonic Analysis III</i>, World
    Scientific Publ., 2005, pp. 249–264, doi:<a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>.
  short: 'M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World
    Scientific Publ., 2005, pp. 249–264.'
date_created: 2023-01-25T09:59:21Z
date_updated: 2023-01-26T17:46:04Z
department:
- _id: '555'
doi: 10.1142/9789812701503_0016
extern: '1'
language:
- iso: eng
page: ' 249–264'
publication: Infinite Dimensional Harmonic Analysis III
publication_status: published
publisher: World Scientific Publ.
status: public
title: Deformations of convolution semigroups on commutative hypergroups
type: conference
user_id: '37390'
year: '2005'
...
---
_id: '40320'
abstract:
- lang: eng
  text: In this note, a new proof for the positivity of Dunkl's intertwining operator
    in the crystallographic case is given. It is based on an asymptotic relationship
    between the Opdam-Cherednik kernel and the Dunkl kernel as recently observed by
    M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials
    and their non-symmetric counterparts.
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. Positivity of Dunkl’s intertwining operator via the trigonometric
    setting. <i>International Mathematics Research Notices</i>. 2004;(63):3379–3389.
    doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0405368">10.48550/ARXIV.MATH/0405368</a>
  apa: Rösler, M., &#38; Voit, M. (2004). Positivity of Dunkl’s intertwining operator
    via the trigonometric setting. <i>International Mathematics Research Notices</i>,
    <i>63</i>, 3379–3389. <a href="https://doi.org/10.48550/ARXIV.MATH/0405368">https://doi.org/10.48550/ARXIV.MATH/0405368</a>
  bibtex: '@article{Rösler_Voit_2004, title={Positivity of Dunkl’s intertwining operator
    via the trigonometric setting}, DOI={<a href="https://doi.org/10.48550/ARXIV.MATH/0405368">10.48550/ARXIV.MATH/0405368</a>},
    number={63}, journal={International Mathematics Research Notices}, publisher={Oxford
    University Press}, author={Rösler, Margit and Voit, Michael}, year={2004}, pages={3379–3389}
    }'
  chicago: 'Rösler, Margit, and Michael Voit. “Positivity of Dunkl’s Intertwining
    Operator via the Trigonometric Setting.” <i>International Mathematics Research
    Notices</i>, no. 63 (2004): 3379–3389. <a href="https://doi.org/10.48550/ARXIV.MATH/0405368">https://doi.org/10.48550/ARXIV.MATH/0405368</a>.'
  ieee: 'M. Rösler and M. Voit, “Positivity of Dunkl’s intertwining operator via the
    trigonometric setting,” <i>International Mathematics Research Notices</i>, no.
    63, pp. 3379–3389, 2004, doi: <a href="https://doi.org/10.48550/ARXIV.MATH/0405368">10.48550/ARXIV.MATH/0405368</a>.'
  mla: Rösler, Margit, and Michael Voit. “Positivity of Dunkl’s Intertwining Operator
    via the Trigonometric Setting.” <i>International Mathematics Research Notices</i>,
    no. 63, Oxford University Press, 2004, pp. 3379–3389, doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0405368">10.48550/ARXIV.MATH/0405368</a>.
  short: M. Rösler, M. Voit, International Mathematics Research Notices (2004) 3379–3389.
date_created: 2023-01-26T11:05:33Z
date_updated: 2023-01-26T17:28:09Z
department:
- _id: '555'
doi: 10.48550/ARXIV.MATH/0405368
extern: '1'
issue: '63'
language:
- iso: eng
page: 3379–3389
publication: International Mathematics Research Notices
publication_identifier:
  issn:
  - 1073-7928
  - 1687-0247
publication_status: published
publisher: Oxford University Press
status: public
title: Positivity of Dunkl's intertwining operator via the trigonometric setting
type: journal_article
user_id: '93826'
year: '2004'
...
---
_id: '39956'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Dunkl Operators: Theory and Applications. In: <i>Lecture Notes in
    Mathematics</i>. Springer Berlin Heidelberg; 2003:93–135. doi:<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>'
  apa: 'Rösler, M. (2003). Dunkl Operators: Theory and Applications. In <i>Lecture
    Notes in Mathematics</i> (pp. 93–135). Springer Berlin Heidelberg. <a href="https://doi.org/10.1007/3-540-44945-0_3">https://doi.org/10.1007/3-540-44945-0_3</a>'
  bibtex: '@inbook{Rösler_2003, place={Berlin, Heidelberg}, title={Dunkl Operators:
    Theory and Applications}, DOI={<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>},
    booktitle={Lecture Notes in Mathematics}, publisher={Springer Berlin Heidelberg},
    author={Rösler, Margit}, year={2003}, pages={93–135} }'
  chicago: 'Rösler, Margit. “Dunkl Operators: Theory and Applications.” In <i>Lecture
    Notes in Mathematics</i>, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg,
    2003. <a href="https://doi.org/10.1007/3-540-44945-0_3">https://doi.org/10.1007/3-540-44945-0_3</a>.'
  ieee: 'M. Rösler, “Dunkl Operators: Theory and Applications,” in <i>Lecture Notes
    in Mathematics</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp.
    93–135.'
  mla: 'Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes
    in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>.'
  short: 'M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg,
    Berlin, Heidelberg, 2003, pp. 93–135.'
date_created: 2023-01-25T10:09:14Z
date_updated: 2023-01-26T17:44:19Z
department:
- _id: '555'
doi: 10.1007/3-540-44945-0_3
extern: '1'
language:
- iso: eng
page: 93–135
place: Berlin, Heidelberg
publication: Lecture Notes in Mathematics
publication_identifier:
  isbn:
  - '9783540403753'
  - '9783540449454'
  issn:
  - 0075-8434
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: 'Dunkl Operators: Theory and Applications'
type: book_chapter
user_id: '93826'
year: '2003'
...
---
_id: '39957'
abstract:
- lang: eng
  text: It is an open conjecture that generalized Bessel functions associated with
    root systems have a positive product formula for non-negative multiplicity parameters
    of the associated Dunkl operators. In this paper, a partial result towards this
    conjecture is proven, namely a positive radial product formula for the non-symmetric
    counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby
    means that one of the factors in the product formula is replaced by its mean over
    a sphere. The key to this product formula is a positivity result for the Dunkl-type
    spherical mean operator. It can also be interpreted in the sense that the Dunkl-type
    generalized translation of radial functions is positivity-preserving. As an application,
    we construct Dunkl-type homogeneous Markov processes associated with radial probability
    distributions.
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions
    of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>
  apa: Rösler, M. (2003). A positive radial product formula for the Dunkl kernel.
    <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438.
    <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">https://doi.org/10.48550/ARXIV.MATH/0210137</a>
  bibtex: '@article{Rösler_2003, title={A positive radial product formula for the
    Dunkl kernel}, volume={355}, DOI={<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>},
    number={6}, journal={Transactions of the American Mathematical Society}, publisher={American
    Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438}
    }'
  chicago: 'Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.”
    <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438.
    <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.'
  ieee: 'M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions
    of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003,
    doi: <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>.'
  mla: Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions
    of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical
    Society (AMS), 2003, pp. 2413–2438, doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>.
  short: M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.
date_created: 2023-01-25T10:17:51Z
date_updated: 2023-01-26T17:44:10Z
department:
- _id: '555'
doi: 10.48550/ARXIV.MATH/0210137
extern: '1'
intvolume: '       355'
issue: '6'
language:
- iso: eng
page: 2413–2438
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: A positive radial product formula for the Dunkl kernel
type: journal_article
user_id: '93826'
volume: 355
year: '2003'
...
---
_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: '40652'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. One-parameter semigroups related to abstract quantum models of Calogero
    type. In: <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>. Gräbner-Verlag;
    2000:290-305.'
  apa: Rösler, M. (2000). One-parameter semigroups related to abstract quantum models
    of Calogero type. <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>,
    290–305.
  bibtex: '@inproceedings{Rösler_2000, title={One-parameter semigroups related to
    abstract quantum models of Calogero type}, booktitle={Infinite dimensional harmonic
    analysis (Kyoto 1999)}, publisher={Gräbner-Verlag}, author={Rösler, Margit}, year={2000},
    pages={290–305} }'
  chicago: Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models
    of Calogero Type.” In <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>,
    290–305. Gräbner-Verlag, 2000.
  ieee: M. Rösler, “One-parameter semigroups related to abstract quantum models of
    Calogero type,” in <i>Infinite dimensional harmonic analysis (Kyoto 1999)</i>,
    2000, pp. 290–305.
  mla: Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models
    of Calogero Type.” <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>,
    Gräbner-Verlag, 2000, pp. 290–305.
  short: 'M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag,
    2000, pp. 290–305.'
date_created: 2023-01-30T11:04:33Z
date_updated: 2024-04-24T12:48:43Z
department:
- _id: '555'
extern: '1'
language:
- iso: eng
page: 290-305
publication: Infinite dimensional harmonic analysis (Kyoto 1999)
publication_status: published
publisher: Gräbner-Verlag
status: public
title: One-parameter semigroups related to abstract quantum models of Calogero type
type: conference
user_id: '93826'
year: '2000'
...
---
_id: '40172'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Short-time estimates for heat kernels associated with root systems.
    In: <i>Special Functions (HongKong 1999)</i>. World Scientific; 2000:309-323.
    doi:<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>'
  apa: Rösler, M. (2000). Short-time estimates for heat kernels associated with root
    systems. <i>Special Functions (HongKong 1999)</i>, 309–323. <a href="https://doi.org/10.1142/9789812792303_0024">https://doi.org/10.1142/9789812792303_0024</a>
  bibtex: '@inproceedings{Rösler_2000, title={Short-time estimates for heat kernels
    associated with root systems}, DOI={<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>},
    booktitle={Special Functions (HongKong 1999)}, publisher={World Scientific}, author={Rösler,
    Margit}, year={2000}, pages={309–323} }'
  chicago: Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with
    Root Systems.” In <i>Special Functions (HongKong 1999)</i>, 309–23. World Scientific,
    2000. <a href="https://doi.org/10.1142/9789812792303_0024">https://doi.org/10.1142/9789812792303_0024</a>.
  ieee: 'M. Rösler, “Short-time estimates for heat kernels associated with root systems,”
    in <i>Special Functions (HongKong 1999)</i>, 2000, pp. 309–323, doi: <a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>.'
  mla: Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root
    Systems.” <i>Special Functions (HongKong 1999)</i>, World Scientific, 2000, pp.
    309–23, doi:<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>.
  short: 'M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000,
    pp. 309–323.'
date_created: 2023-01-26T07:59:08Z
date_updated: 2023-01-26T17:43:19Z
department:
- _id: '555'
doi: 10.1142/9789812792303_0024
extern: '1'
language:
- iso: eng
page: 309-323
publication: Special Functions (HongKong 1999)
publication_status: published
publisher: World Scientific
status: public
title: Short-time estimates for heat kernels associated with root systems
type: conference
user_id: '37390'
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: '40666'
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 Hankel transforms. <i>Proceedings
    of the American Mathematical Society</i>. 1999;127(1):183–194.
  apa: Rösler, M., &#38; Voit, M. (1999). An uncertainty principle for Hankel transforms.
    <i>Proceedings of the American Mathematical Society</i>, <i>127</i>(1), 183–194.
  bibtex: '@article{Rösler_Voit_1999, title={An uncertainty principle for Hankel transforms},
    volume={127}, number={1}, journal={Proceedings of the American Mathematical Society},
    publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit,
    Michael}, year={1999}, pages={183–194} }'
  chicago: 'Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Hankel
    Transforms.” <i>Proceedings of the American Mathematical Society</i> 127, no.
    1 (1999): 183–194.'
  ieee: M. Rösler and M. Voit, “An uncertainty principle for Hankel transforms,” <i>Proceedings
    of the American Mathematical Society</i>, vol. 127, no. 1, pp. 183–194, 1999.
  mla: Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Hankel Transforms.”
    <i>Proceedings of the American Mathematical Society</i>, vol. 127, no. 1, American
    Mathematical Society (AMS), 1999, pp. 183–194.
  short: M. Rösler, M. Voit, Proceedings of the American Mathematical Society 127
    (1999) 183–194.
date_created: 2023-01-30T11:20:49Z
date_updated: 2025-08-09T09:24:57Z
department:
- _id: '555'
extern: '1'
intvolume: '       127'
issue: '1'
language:
- iso: eng
page: 183–194
publication: Proceedings of the American Mathematical Society
publication_identifier:
  issn:
  - 0002-9939
  - 1088-6826
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: An uncertainty principle for Hankel transforms
type: journal_article
user_id: '37390'
volume: 127
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'
...