---
_id: '37663'
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 multivariate version of the disk convolution. <i>Journal
    of Mathematical Analysis and Applications</i>. 2016;435(1):701-717. doi:<a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>
  apa: Rösler, M., &#38; Voit, M. (2016). A multivariate version of the disk convolution.
    <i>Journal of Mathematical Analysis and Applications</i>, <i>435</i>(1), 701–717.
    <a href="https://doi.org/10.1016/j.jmaa.2015.10.062">https://doi.org/10.1016/j.jmaa.2015.10.062</a>
  bibtex: '@article{Rösler_Voit_2016, title={A multivariate version of the disk convolution},
    volume={435}, DOI={<a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>},
    number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier
    BV}, author={Rösler, Margit and Voit, Michael}, year={2016}, pages={701–717} }'
  chicago: 'Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk
    Convolution.” <i>Journal of Mathematical Analysis and Applications</i> 435, no.
    1 (2016): 701–17. <a href="https://doi.org/10.1016/j.jmaa.2015.10.062">https://doi.org/10.1016/j.jmaa.2015.10.062</a>.'
  ieee: 'M. Rösler and M. Voit, “A multivariate version of the disk convolution,”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 435, no. 1, pp.
    701–717, 2016, doi: <a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>.'
  mla: Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk Convolution.”
    <i>Journal of Mathematical Analysis and Applications</i>, vol. 435, no. 1, Elsevier
    BV, 2016, pp. 701–17, doi:<a href="https://doi.org/10.1016/j.jmaa.2015.10.062">10.1016/j.jmaa.2015.10.062</a>.
  short: M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435
    (2016) 701–717.
date_created: 2023-01-20T09:26:43Z
date_updated: 2023-01-24T22:15:56Z
department:
- _id: '555'
doi: 10.1016/j.jmaa.2015.10.062
intvolume: '       435'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 701-717
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
  issn:
  - 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: A multivariate version of the disk convolution
type: journal_article
user_id: '37390'
volume: 435
year: '2016'
...
---
_id: '40066'
author:
- first_name: Rodrigo
  full_name: Bañuelos, Rodrigo
  last_name: Bañuelos
- first_name: Krzysztof
  full_name: Bogdan, Krzysztof
  last_name: Bogdan
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Bañuelos R, Bogdan K, Luks T. Hardy–Stein identities and square functions for
    semigroups. <i>Journal of the London Mathematical Society</i>. 2016;94(2):462-478.
    doi:<a href="https://doi.org/10.1112/jlms/jdw042">10.1112/jlms/jdw042</a>
  apa: Bañuelos, R., Bogdan, K., &#38; Luks, T. (2016). Hardy–Stein identities and
    square functions for semigroups. <i>Journal of the London Mathematical Society</i>,
    <i>94</i>(2), 462–478. <a href="https://doi.org/10.1112/jlms/jdw042">https://doi.org/10.1112/jlms/jdw042</a>
  bibtex: '@article{Bañuelos_Bogdan_Luks_2016, title={Hardy–Stein identities and square
    functions for semigroups}, volume={94}, DOI={<a href="https://doi.org/10.1112/jlms/jdw042">10.1112/jlms/jdw042</a>},
    number={2}, journal={Journal of the London Mathematical Society}, publisher={Wiley},
    author={Bañuelos, Rodrigo and Bogdan, Krzysztof and Luks, Tomasz}, year={2016},
    pages={462–478} }'
  chicago: 'Bañuelos, Rodrigo, Krzysztof Bogdan, and Tomasz Luks. “Hardy–Stein Identities
    and Square Functions for Semigroups.” <i>Journal of the London Mathematical Society</i>
    94, no. 2 (2016): 462–78. <a href="https://doi.org/10.1112/jlms/jdw042">https://doi.org/10.1112/jlms/jdw042</a>.'
  ieee: 'R. Bañuelos, K. Bogdan, and T. Luks, “Hardy–Stein identities and square functions
    for semigroups,” <i>Journal of the London Mathematical Society</i>, vol. 94, no.
    2, pp. 462–478, 2016, doi: <a href="https://doi.org/10.1112/jlms/jdw042">10.1112/jlms/jdw042</a>.'
  mla: Bañuelos, Rodrigo, et al. “Hardy–Stein Identities and Square Functions for
    Semigroups.” <i>Journal of the London Mathematical Society</i>, vol. 94, no. 2,
    Wiley, 2016, pp. 462–78, doi:<a href="https://doi.org/10.1112/jlms/jdw042">10.1112/jlms/jdw042</a>.
  short: R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society
    94 (2016) 462–478.
date_created: 2023-01-25T15:43:14Z
date_updated: 2023-01-26T17:20:19Z
department:
- _id: '555'
doi: 10.1112/jlms/jdw042
extern: '1'
intvolume: '        94'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
page: 462-478
publication: Journal of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6107
  - 1469-7750
publication_status: published
publisher: Wiley
status: public
title: Hardy–Stein identities and square functions for semigroups
type: journal_article
user_id: '58312'
volume: 94
year: '2016'
...
---
_id: '38037'
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 Central Limit Theorem for Random Walks on the Dual of
    a Compact Grassmannian. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>.
    2015;11(013):18pp. doi:<a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>'
  apa: 'Rösler, M., &#38; Voit, M. (2015). A Central Limit Theorem for Random Walks
    on the Dual of a Compact Grassmannian. <i>Symmetry, Integrability and Geometry:
    Methods and Applications</i>, <i>11</i>(013), 18pp. <a href="https://doi.org/10.3842/sigma.2015.013">https://doi.org/10.3842/sigma.2015.013</a>'
  bibtex: '@article{Rösler_Voit_2015, title={A Central Limit Theorem for Random Walks
    on the Dual of a Compact Grassmannian}, volume={11}, DOI={<a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>},
    number={013}, journal={Symmetry, Integrability and Geometry: Methods and Applications},
    publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)},
    author={Rösler, Margit and Voit, Michael}, year={2015}, pages={18pp} }'
  chicago: 'Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random
    Walks on the Dual of a Compact Grassmannian.” <i>Symmetry, Integrability and Geometry:
    Methods and Applications</i> 11, no. 013 (2015): 18pp. <a href="https://doi.org/10.3842/sigma.2015.013">https://doi.org/10.3842/sigma.2015.013</a>.'
  ieee: 'M. Rösler and M. Voit, “A Central Limit Theorem for Random Walks on the Dual
    of a Compact Grassmannian,” <i>Symmetry, Integrability and Geometry: Methods and
    Applications</i>, vol. 11, no. 013, p. 18pp, 2015, doi: <a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>.'
  mla: 'Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random Walks
    on the Dual of a Compact Grassmannian.” <i>Symmetry, Integrability and Geometry:
    Methods and Applications</i>, vol. 11, no. 013, SIGMA (Symmetry, Integrability
    and Geometry: Methods and Application), 2015, p. 18pp, doi:<a href="https://doi.org/10.3842/sigma.2015.013">10.3842/sigma.2015.013</a>.'
  short: 'M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications
    11 (2015) 18pp.'
date_created: 2023-01-23T08:18:48Z
date_updated: 2023-01-24T22:15:37Z
department:
- _id: '555'
doi: 10.3842/sigma.2015.013
intvolume: '        11'
issue: '013'
keyword:
- Geometry and Topology
- Mathematical Physics
- Analysis
language:
- iso: eng
page: 18pp
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 Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
type: journal_article
user_id: '93826'
volume: 11
year: '2015'
...
---
_id: '37667'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Heiko
  full_name: Remling, Heiko
  last_name: Remling
citation:
  ama: Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived
    from compact Grassmannians. <i>Journal of Approximation Theory</i>. 2014;197:30-48.
    doi:<a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>
  apa: Rösler, M., &#38; Remling, H. (2014). Convolution algebras for Heckman–Opdam
    polynomials derived from compact Grassmannians. <i>Journal of Approximation Theory</i>,
    <i>197</i>, 30–48. <a href="https://doi.org/10.1016/j.jat.2014.07.005">https://doi.org/10.1016/j.jat.2014.07.005</a>
  bibtex: '@article{Rösler_Remling_2014, title={Convolution algebras for Heckman–Opdam
    polynomials derived from compact Grassmannians}, volume={197}, DOI={<a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>},
    journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler,
    Margit and Remling, Heiko}, year={2014}, pages={30–48} }'
  chicago: 'Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam
    Polynomials Derived from Compact Grassmannians.” <i>Journal of Approximation Theory</i>
    197 (2014): 30–48. <a href="https://doi.org/10.1016/j.jat.2014.07.005">https://doi.org/10.1016/j.jat.2014.07.005</a>.'
  ieee: 'M. Rösler and H. Remling, “Convolution algebras for Heckman–Opdam polynomials
    derived from compact Grassmannians,” <i>Journal of Approximation Theory</i>, vol.
    197, pp. 30–48, 2014, doi: <a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>.'
  mla: Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam
    Polynomials Derived from Compact Grassmannians.” <i>Journal of Approximation Theory</i>,
    vol. 197, Elsevier BV, 2014, pp. 30–48, doi:<a href="https://doi.org/10.1016/j.jat.2014.07.005">10.1016/j.jat.2014.07.005</a>.
  short: M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48.
date_created: 2023-01-20T09:30:22Z
date_updated: 2023-01-24T22:15:33Z
department:
- _id: '555'
doi: 10.1016/j.jat.2014.07.005
intvolume: '       197'
keyword:
- Applied Mathematics
- General Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 30-48
publication: Journal of Approximation Theory
publication_identifier:
  issn:
  - 0021-9045
publication_status: published
publisher: Elsevier BV
status: public
title: Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians
type: journal_article
user_id: '93826'
volume: 197
year: '2014'
...
---
_id: '40068'
author:
- first_name: Krzysztof
  full_name: Bogdan, Krzysztof
  last_name: Bogdan
- first_name: Bartłomiej
  full_name: Dyda, Bartłomiej
  last_name: Dyda
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Bogdan K, Dyda B, Luks T. On Hardy spaces of local and nonlocal operators.
    <i>Hiroshima Mathematical Journal</i>. 2014;44(2):193-215. doi:<a href="https://doi.org/10.32917/hmj/1408972907">10.32917/hmj/1408972907</a>
  apa: Bogdan, K., Dyda, B., &#38; Luks, T. (2014). On Hardy spaces of local and nonlocal
    operators. <i>Hiroshima Mathematical Journal</i>, <i>44</i>(2), 193–215. <a href="https://doi.org/10.32917/hmj/1408972907">https://doi.org/10.32917/hmj/1408972907</a>
  bibtex: '@article{Bogdan_Dyda_Luks_2014, title={On Hardy spaces of local and nonlocal
    operators}, volume={44}, DOI={<a href="https://doi.org/10.32917/hmj/1408972907">10.32917/hmj/1408972907</a>},
    number={2}, journal={Hiroshima Mathematical Journal}, publisher={Hiroshima University
    - Department of Mathematics}, author={Bogdan, Krzysztof and Dyda, Bartłomiej and
    Luks, Tomasz}, year={2014}, pages={193–215} }'
  chicago: 'Bogdan, Krzysztof, Bartłomiej Dyda, and Tomasz Luks. “On Hardy Spaces
    of Local and Nonlocal Operators.” <i>Hiroshima Mathematical Journal</i> 44, no.
    2 (2014): 193–215. <a href="https://doi.org/10.32917/hmj/1408972907">https://doi.org/10.32917/hmj/1408972907</a>.'
  ieee: 'K. Bogdan, B. Dyda, and T. Luks, “On Hardy spaces of local and nonlocal operators,”
    <i>Hiroshima Mathematical Journal</i>, vol. 44, no. 2, pp. 193–215, 2014, doi:
    <a href="https://doi.org/10.32917/hmj/1408972907">10.32917/hmj/1408972907</a>.'
  mla: Bogdan, Krzysztof, et al. “On Hardy Spaces of Local and Nonlocal Operators.”
    <i>Hiroshima Mathematical Journal</i>, vol. 44, no. 2, Hiroshima University -
    Department of Mathematics, 2014, pp. 193–215, doi:<a href="https://doi.org/10.32917/hmj/1408972907">10.32917/hmj/1408972907</a>.
  short: K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.
date_created: 2023-01-25T15:46:01Z
date_updated: 2023-01-26T17:20:41Z
department:
- _id: '555'
doi: 10.32917/hmj/1408972907
extern: '1'
intvolume: '        44'
issue: '2'
language:
- iso: eng
page: 193-215
publication: Hiroshima Mathematical Journal
publication_identifier:
  issn:
  - 0018-2079
publication_status: published
publisher: Hiroshima University - Department of Mathematics
status: public
title: On Hardy spaces of local and nonlocal operators
type: journal_article
user_id: '58312'
volume: 44
year: '2014'
...
---
_id: '37672'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Let <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline1" /><jats:tex-math>${F}_{BC} (\lambda , k;
    t)$</jats:tex-math></jats:alternatives></jats:inline-formula> be the Heckman–Opdam
    hypergeometric function of type BC with multiplicities <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline2" /><jats:tex-math>$k= ({k}_{1} , {k}_{2}
    , {k}_{3} )$</jats:tex-math></jats:alternatives></jats:inline-formula> and weighted
    half-sum <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X13007045_inline3"
    /><jats:tex-math>$\rho (k)$</jats:tex-math></jats:alternatives></jats:inline-formula>
    of positive roots. We prove that <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline4" /><jats:tex-math>${F}_{BC} (\lambda + \rho
    (k), k; t)$</jats:tex-math></jats:alternatives></jats:inline-formula> converges
    as <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X13007045_inline5"
    /><jats:tex-math>${k}_{1} + {k}_{2} \rightarrow \infty $</jats:tex-math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink"
    mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X13007045_inline6"
    /><jats:tex-math>${k}_{1} / {k}_{2} \rightarrow \infty $</jats:tex-math></jats:alternatives></jats:inline-formula>
    to a function of type A for <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline7" /><jats:tex-math>$t\in { \mathbb{R} }^{n}
    $</jats:tex-math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline8" /><jats:tex-math>$\lambda \in { \mathbb{C}
    }^{n} $</jats:tex-math></jats:alternatives></jats:inline-formula>. This limit
    is obtained from a corresponding result for Jacobi polynomials of type BC, which
    is proven for a slightly more general limit behavior of the multiplicities, using
    an explicit representation of Jacobi polynomials in terms of Jack polynomials.
    Our limits include limit transitions for the spherical functions of non-compact
    Grassmann manifolds over one of the fields <jats:inline-formula><jats:alternatives><jats:inline-graphic
    xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple"
    xlink:href="S0010437X13007045_inline9" /><jats:tex-math>$ \mathbb{F} = \mathbb{R}
    , \mathbb{C} , \mathbb{H} $</jats:tex-math></jats:alternatives></jats:inline-formula>
    when the rank is fixed and the dimension tends to infinity. The limit functions
    turn out to be exactly the spherical functions of the corresponding infinite-dimensional
    Grassmann manifold in the sense of Olshanski.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Tom
  full_name: Koornwinder, Tom
  last_name: Koornwinder
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Koornwinder T, Voit M. Limit transition between hypergeometric functions
    of type BC and type A. <i>Compositio Mathematica</i>. 2013;149(8):1381-1400. doi:<a
    href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>
  apa: Rösler, M., Koornwinder, T., &#38; Voit, M. (2013). Limit transition between
    hypergeometric functions of type BC and type A. <i>Compositio Mathematica</i>,
    <i>149</i>(8), 1381–1400. <a href="https://doi.org/10.1112/s0010437x13007045">https://doi.org/10.1112/s0010437x13007045</a>
  bibtex: '@article{Rösler_Koornwinder_Voit_2013, title={Limit transition between
    hypergeometric functions of type BC and type A}, volume={149}, DOI={<a href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>},
    number={8}, journal={Compositio Mathematica}, publisher={Wiley}, author={Rösler,
    Margit and Koornwinder, Tom and Voit, Michael}, year={2013}, pages={1381–1400}
    }'
  chicago: 'Rösler, Margit, Tom Koornwinder, and Michael Voit. “Limit Transition between
    Hypergeometric Functions of Type BC and Type A.” <i>Compositio Mathematica</i>
    149, no. 8 (2013): 1381–1400. <a href="https://doi.org/10.1112/s0010437x13007045">https://doi.org/10.1112/s0010437x13007045</a>.'
  ieee: 'M. Rösler, T. Koornwinder, and M. Voit, “Limit transition between hypergeometric
    functions of type BC and type A,” <i>Compositio Mathematica</i>, vol. 149, no.
    8, pp. 1381–1400, 2013, doi: <a href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>.'
  mla: Rösler, Margit, et al. “Limit Transition between Hypergeometric Functions of
    Type BC and Type A.” <i>Compositio Mathematica</i>, vol. 149, no. 8, Wiley, 2013,
    pp. 1381–400, doi:<a href="https://doi.org/10.1112/s0010437x13007045">10.1112/s0010437x13007045</a>.
  short: M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400.
date_created: 2023-01-20T09:37:16Z
date_updated: 2023-01-24T22:15:13Z
department:
- _id: '555'
doi: 10.1112/s0010437x13007045
intvolume: '       149'
issue: '8'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 1381-1400
publication: Compositio Mathematica
publication_identifier:
  issn:
  - 0010-437X
  - 1570-5846
publication_status: published
publisher: Wiley
status: public
title: Limit transition between hypergeometric functions of type BC and type A
type: journal_article
user_id: '93826'
volume: 149
year: '2013'
...
---
_id: '38038'
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. Olshanski spherical functions for infinite dimensional motion
    groups of fixed rank. <i>Journal of Lie Theory 23</i>. 2013;(4):899--920. doi:<a
    href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>
  apa: Rösler, M., &#38; Voit, M. (2013). Olshanski spherical functions for infinite
    dimensional motion groups of fixed rank. <i>Journal of Lie Theory 23</i>, <i>4</i>,
    899--920. <a href="https://doi.org/10.48550/ARXIV.1210.1351">https://doi.org/10.48550/ARXIV.1210.1351</a>
  bibtex: '@article{Rösler_Voit_2013, title={Olshanski spherical functions for infinite
    dimensional motion groups of fixed rank}, DOI={<a href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>},
    number={4}, journal={Journal of Lie Theory 23}, publisher={Heldermann }, author={Rösler,
    Margit and Voit, Michael}, year={2013}, pages={899--920} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite
    Dimensional Motion Groups of Fixed Rank.” <i>Journal of Lie Theory 23</i>, no.
    4 (2013): 899--920. <a href="https://doi.org/10.48550/ARXIV.1210.1351">https://doi.org/10.48550/ARXIV.1210.1351</a>.'
  ieee: 'M. Rösler and M. Voit, “Olshanski spherical functions for infinite dimensional
    motion groups of fixed rank,” <i>Journal of Lie Theory 23</i>, no. 4, pp. 899--920,
    2013, doi: <a href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>.'
  mla: Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite
    Dimensional Motion Groups of Fixed Rank.” <i>Journal of Lie Theory 23</i>, no.
    4, Heldermann , 2013, pp. 899--920, doi:<a href="https://doi.org/10.48550/ARXIV.1210.1351">10.48550/ARXIV.1210.1351</a>.
  short: M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.
date_created: 2023-01-23T08:26:17Z
date_updated: 2023-01-24T22:15:26Z
department:
- _id: '555'
doi: 10.48550/ARXIV.1210.1351
issue: '4'
language:
- iso: eng
page: 899--920
publication: Journal of Lie Theory 23
publication_status: published
publisher: 'Heldermann '
status: public
title: Olshanski spherical functions for infinite dimensional motion groups of fixed
  rank
type: journal_article
user_id: '93826'
year: '2013'
...
---
_id: '40072'
author:
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Luks T. Boundary Behavior of α-Harmonic Functions on the Complement of the
    Sphere and Hyperplane. <i>Potential Analysis</i>. 2013;39(1):29-67. doi:<a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>
  apa: Luks, T. (2013). Boundary Behavior of α-Harmonic Functions on the Complement
    of the Sphere and Hyperplane. <i>Potential Analysis</i>, <i>39</i>(1), 29–67.
    <a href="https://doi.org/10.1007/s11118-012-9321-x">https://doi.org/10.1007/s11118-012-9321-x</a>
  bibtex: '@article{Luks_2013, title={Boundary Behavior of α-Harmonic Functions on
    the Complement of the Sphere and Hyperplane}, volume={39}, DOI={<a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>},
    number={1}, journal={Potential Analysis}, publisher={Springer Science and Business
    Media LLC}, author={Luks, Tomasz}, year={2013}, pages={29–67} }'
  chicago: 'Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement
    of the Sphere and Hyperplane.” <i>Potential Analysis</i> 39, no. 1 (2013): 29–67.
    <a href="https://doi.org/10.1007/s11118-012-9321-x">https://doi.org/10.1007/s11118-012-9321-x</a>.'
  ieee: 'T. Luks, “Boundary Behavior of α-Harmonic Functions on the Complement of
    the Sphere and Hyperplane,” <i>Potential Analysis</i>, vol. 39, no. 1, pp. 29–67,
    2013, doi: <a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>.'
  mla: Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement
    of the Sphere and Hyperplane.” <i>Potential Analysis</i>, vol. 39, no. 1, Springer
    Science and Business Media LLC, 2013, pp. 29–67, doi:<a href="https://doi.org/10.1007/s11118-012-9321-x">10.1007/s11118-012-9321-x</a>.
  short: T. Luks, Potential Analysis 39 (2013) 29–67.
date_created: 2023-01-25T15:50:45Z
date_updated: 2023-01-26T17:29:16Z
department:
- _id: '555'
doi: 10.1007/s11118-012-9321-x
extern: '1'
intvolume: '        39'
issue: '1'
language:
- iso: eng
page: 29-67
publication: Potential Analysis
publication_identifier:
  issn:
  - 0926-2601
  - 1572-929X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and
  Hyperplane
type: journal_article
user_id: '58312'
volume: 39
year: '2013'
...
---
_id: '40070'
author:
- first_name: Piotr
  full_name: Graczyk, Piotr
  last_name: Graczyk
- first_name: Tomasz
  full_name: Jakubowski, Tomasz
  last_name: Jakubowski
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Graczyk P, Jakubowski T, Luks T. Martin representation and Relative Fatou Theorem
    for fractional Laplacian with a gradient perturbation. <i>Positivity</i>. 2013;17(4):1043-1070.
    doi:<a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>
  apa: Graczyk, P., Jakubowski, T., &#38; Luks, T. (2013). Martin representation and
    Relative Fatou Theorem for fractional Laplacian with a gradient perturbation.
    <i>Positivity</i>, <i>17</i>(4), 1043–1070. <a href="https://doi.org/10.1007/s11117-012-0220-6">https://doi.org/10.1007/s11117-012-0220-6</a>
  bibtex: '@article{Graczyk_Jakubowski_Luks_2013, title={Martin representation and
    Relative Fatou Theorem for fractional Laplacian with a gradient perturbation},
    volume={17}, DOI={<a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>},
    number={4}, journal={Positivity}, publisher={Springer Science and Business Media
    LLC}, author={Graczyk, Piotr and Jakubowski, Tomasz and Luks, Tomasz}, year={2013},
    pages={1043–1070} }'
  chicago: 'Graczyk, Piotr, Tomasz Jakubowski, and Tomasz Luks. “Martin Representation
    and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.”
    <i>Positivity</i> 17, no. 4 (2013): 1043–70. <a href="https://doi.org/10.1007/s11117-012-0220-6">https://doi.org/10.1007/s11117-012-0220-6</a>.'
  ieee: 'P. Graczyk, T. Jakubowski, and T. Luks, “Martin representation and Relative
    Fatou Theorem for fractional Laplacian with a gradient perturbation,” <i>Positivity</i>,
    vol. 17, no. 4, pp. 1043–1070, 2013, doi: <a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>.'
  mla: Graczyk, Piotr, et al. “Martin Representation and Relative Fatou Theorem for
    Fractional Laplacian with a Gradient Perturbation.” <i>Positivity</i>, vol. 17,
    no. 4, Springer Science and Business Media LLC, 2013, pp. 1043–70, doi:<a href="https://doi.org/10.1007/s11117-012-0220-6">10.1007/s11117-012-0220-6</a>.
  short: P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.
date_created: 2023-01-25T15:49:25Z
date_updated: 2023-01-26T17:21:01Z
department:
- _id: '555'
doi: 10.1007/s11117-012-0220-6
extern: '1'
intvolume: '        17'
issue: '4'
language:
- iso: eng
page: 1043-1070
publication: Positivity
publication_identifier:
  issn:
  - 1385-1292
  - 1572-9281
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Martin representation and Relative Fatou Theorem for fractional Laplacian with
  a gradient perturbation
type: journal_article
user_id: '58312'
volume: 17
year: '2013'
...
---
_id: '40073'
author:
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
citation:
  ama: Luks T. Hardy spaces for the Laplacian with lower order perturbations. <i>Studia
    Mathematica</i>. 2011;204(1):39-62. doi:<a href="https://doi.org/10.4064/sm204-1-3">10.4064/sm204-1-3</a>
  apa: Luks, T. (2011). Hardy spaces for the Laplacian with lower order perturbations.
    <i>Studia Mathematica</i>, <i>204</i>(1), 39–62. <a href="https://doi.org/10.4064/sm204-1-3">https://doi.org/10.4064/sm204-1-3</a>
  bibtex: '@article{Luks_2011, title={Hardy spaces for the Laplacian with lower order
    perturbations}, volume={204}, DOI={<a href="https://doi.org/10.4064/sm204-1-3">10.4064/sm204-1-3</a>},
    number={1}, journal={Studia Mathematica}, publisher={Institute of Mathematics,
    Polish Academy of Sciences}, author={Luks, Tomasz}, year={2011}, pages={39–62}
    }'
  chicago: 'Luks, Tomasz. “Hardy Spaces for the Laplacian with Lower Order Perturbations.”
    <i>Studia Mathematica</i> 204, no. 1 (2011): 39–62. <a href="https://doi.org/10.4064/sm204-1-3">https://doi.org/10.4064/sm204-1-3</a>.'
  ieee: 'T. Luks, “Hardy spaces for the Laplacian with lower order perturbations,”
    <i>Studia Mathematica</i>, vol. 204, no. 1, pp. 39–62, 2011, doi: <a href="https://doi.org/10.4064/sm204-1-3">10.4064/sm204-1-3</a>.'
  mla: Luks, Tomasz. “Hardy Spaces for the Laplacian with Lower Order Perturbations.”
    <i>Studia Mathematica</i>, vol. 204, no. 1, Institute of Mathematics, Polish Academy
    of Sciences, 2011, pp. 39–62, doi:<a href="https://doi.org/10.4064/sm204-1-3">10.4064/sm204-1-3</a>.
  short: T. Luks, Studia Mathematica 204 (2011) 39–62.
date_created: 2023-01-25T15:52:13Z
date_updated: 2023-01-26T17:21:25Z
department:
- _id: '555'
doi: 10.4064/sm204-1-3
extern: '1'
intvolume: '       204'
issue: '1'
language:
- iso: eng
page: 39-62
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
  - 1730-6337
publication_status: published
publisher: Institute of Mathematics, Polish Academy of Sciences
status: public
title: Hardy spaces for the Laplacian with lower order perturbations
type: journal_article
user_id: '58312'
volume: 204
year: '2011'
...
---
_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'
...
