---
_id: '40053'
author:
- first_name: P.
  full_name: Graczyk, P.
  last_name: Graczyk
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
- first_name: P.
  full_name: Sawyer, P.
  last_name: Sawyer
citation:
  ama: Graczyk P, Luks T, Sawyer P. Potential kernels for radial Dunkl Laplacians.
    <i>Canadian Journal of Mathematics</i>. 2022;74(4):1005-1033. doi:<a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>
  apa: Graczyk, P., Luks, T., &#38; Sawyer, P. (2022). Potential kernels for radial
    Dunkl Laplacians. <i>Canadian Journal of Mathematics</i>, <i>74</i>(4), 1005–1033.
    <a href="https://doi.org/10.4153/s0008414x21000195">https://doi.org/10.4153/s0008414x21000195</a>
  bibtex: '@article{Graczyk_Luks_Sawyer_2022, title={Potential kernels for radial
    Dunkl Laplacians}, volume={74}, DOI={<a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>},
    number={4}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
    Society}, author={Graczyk, P. and Luks, Tomasz and Sawyer, P.}, year={2022}, pages={1005–1033}
    }'
  chicago: 'Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial
    Dunkl Laplacians.” <i>Canadian Journal of Mathematics</i> 74, no. 4 (2022): 1005–33.
    <a href="https://doi.org/10.4153/s0008414x21000195">https://doi.org/10.4153/s0008414x21000195</a>.'
  ieee: 'P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,”
    <i>Canadian Journal of Mathematics</i>, vol. 74, no. 4, pp. 1005–1033, 2022, doi:
    <a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>.'
  mla: Graczyk, P., et al. “Potential Kernels for Radial Dunkl Laplacians.” <i>Canadian
    Journal of Mathematics</i>, vol. 74, no. 4, Canadian Mathematical Society, 2022,
    pp. 1005–33, doi:<a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>.
  short: P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022)
    1005–1033.
date_created: 2023-01-25T15:13:06Z
date_updated: 2023-01-26T17:18:50Z
department:
- _id: '555'
doi: 10.4153/s0008414x21000195
intvolume: '        74'
issue: '4'
language:
- iso: eng
page: 1005-1033
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
  - 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: Potential kernels for radial Dunkl Laplacians
type: journal_article
user_id: '58312'
volume: 74
year: '2022'
...
---
_id: '36271'
author:
- first_name: Dominik
  full_name: Brennecken, Dominik
  id: '55911'
  last_name: Brennecken
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Lorenzo
  full_name: Ciardo, Lorenzo
  last_name: Ciardo
citation:
  ama: Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for
    the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). <i>Journal of
    Lie Theory</i>. 2021;31(2):459--468. doi:<a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>
  apa: Brennecken, D., Hilgert, J., &#38; Ciardo, L. (2021). Algebraically Independent
    Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).
    <i>Journal of Lie Theory</i>, <i>31</i>(2), 459--468. <a href="https://doi.org/10.48550/arXiv.2008.07479">https://doi.org/10.48550/arXiv.2008.07479</a>
  bibtex: '@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent
    Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)},
    volume={31}, DOI={<a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>},
    number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken,
    Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468}
    }'
  chicago: 'Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically
    Independent Generators for the Algebra of Invariant Differential Operators on
    SLn(R)/SOn(R).” <i>Journal of Lie Theory</i> 31, no. 2 (2021): 459--468. <a href="https://doi.org/10.48550/arXiv.2008.07479">https://doi.org/10.48550/arXiv.2008.07479</a>.'
  ieee: 'D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators
    for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” <i>Journal
    of Lie Theory</i>, vol. 31, no. 2, pp. 459--468, 2021, doi: <a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>.'
  mla: Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra
    of Invariant Differential Operators on SLn(R)/SOn(R).” <i>Journal of Lie Theory</i>,
    vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:<a href="https://doi.org/10.48550/arXiv.2008.07479">10.48550/arXiv.2008.07479</a>.
  short: D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
date_created: 2023-01-12T08:23:28Z
date_updated: 2024-02-19T06:27:09Z
department:
- _id: '555'
- _id: '91'
doi: 10.48550/arXiv.2008.07479
intvolume: '        31'
issue: '2'
language:
- iso: eng
page: 459--468
publication: Journal of Lie Theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: Algebraically Independent Generators for the Algebra of Invariant Differential
  Operators on SLn(R)/SOn(R)
type: journal_article
user_id: '49063'
volume: 31
year: '2021'
...
---
_id: '37659'
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. Positive intertwiners for Bessel functions of type B. <i>Proceedings
    of the American Mathematical Society</i>. 2021;149(3):1151-1163. doi:<a href="https://doi.org/10.1090/proc/15312">10.1090/proc/15312</a>
  apa: Rösler, M., &#38; Voit, M. (2021). Positive intertwiners for Bessel functions
    of type B. <i>Proceedings of the American Mathematical Society</i>, <i>149</i>(3),
    1151–1163. <a href="https://doi.org/10.1090/proc/15312">https://doi.org/10.1090/proc/15312</a>
  bibtex: '@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions
    of type B}, volume={149}, DOI={<a href="https://doi.org/10.1090/proc/15312">10.1090/proc/15312</a>},
    number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American
    Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021},
    pages={1151–1163} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions
    of Type B.” <i>Proceedings of the American Mathematical Society</i> 149, no. 3
    (2021): 1151–63. <a href="https://doi.org/10.1090/proc/15312">https://doi.org/10.1090/proc/15312</a>.'
  ieee: 'M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type
    B,” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 3,
    pp. 1151–1163, 2021, doi: <a href="https://doi.org/10.1090/proc/15312">10.1090/proc/15312</a>.'
  mla: Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions
    of Type B.” <i>Proceedings of the American Mathematical Society</i>, vol. 149,
    no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:<a href="https://doi.org/10.1090/proc/15312">10.1090/proc/15312</a>.
  short: M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149
    (2021) 1151–1163.
date_created: 2023-01-20T09:22:12Z
date_updated: 2023-01-24T22:16:16Z
department:
- _id: '555'
doi: 10.1090/proc/15312
intvolume: '       149'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1151-1163
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: Positive intertwiners for Bessel functions of type B
type: journal_article
user_id: '37390'
volume: 149
year: '2021'
...
---
_id: '37660'
article_number: '108506'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. Riesz distributions and Laplace transform in the Dunkl setting of
    type A. <i>Journal of Functional Analysis</i>. 2020;278(12). doi:<a href="https://doi.org/10.1016/j.jfa.2020.108506">10.1016/j.jfa.2020.108506</a>
  apa: Rösler, M. (2020). Riesz distributions and Laplace transform in the Dunkl setting
    of type A. <i>Journal of Functional Analysis</i>, <i>278</i>(12), Article 108506.
    <a href="https://doi.org/10.1016/j.jfa.2020.108506">https://doi.org/10.1016/j.jfa.2020.108506</a>
  bibtex: '@article{Rösler_2020, title={Riesz distributions and Laplace transform
    in the Dunkl setting of type A}, volume={278}, DOI={<a href="https://doi.org/10.1016/j.jfa.2020.108506">10.1016/j.jfa.2020.108506</a>},
    number={12108506}, journal={Journal of Functional Analysis}, publisher={Elsevier
    BV}, author={Rösler, Margit}, year={2020} }'
  chicago: Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl
    Setting of Type A.” <i>Journal of Functional Analysis</i> 278, no. 12 (2020).
    <a href="https://doi.org/10.1016/j.jfa.2020.108506">https://doi.org/10.1016/j.jfa.2020.108506</a>.
  ieee: 'M. Rösler, “Riesz distributions and Laplace transform in the Dunkl setting
    of type A,” <i>Journal of Functional Analysis</i>, vol. 278, no. 12, Art. no.
    108506, 2020, doi: <a href="https://doi.org/10.1016/j.jfa.2020.108506">10.1016/j.jfa.2020.108506</a>.'
  mla: Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl Setting
    of Type A.” <i>Journal of Functional Analysis</i>, vol. 278, no. 12, 108506, Elsevier
    BV, 2020, doi:<a href="https://doi.org/10.1016/j.jfa.2020.108506">10.1016/j.jfa.2020.108506</a>.
  short: M. Rösler, Journal of Functional Analysis 278 (2020).
date_created: 2023-01-20T09:22:53Z
date_updated: 2023-01-24T22:16:07Z
department:
- _id: '555'
doi: 10.1016/j.jfa.2020.108506
intvolume: '       278'
issue: '12'
keyword:
- Analysis
language:
- iso: eng
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
publication_status: published
publisher: Elsevier BV
status: public
title: Riesz distributions and Laplace transform in the Dunkl setting of type A
type: journal_article
user_id: '93826'
volume: 278
year: '2020'
...
---
_id: '40051'
author:
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
- first_name: Yimin
  full_name: Xiao, Yimin
  last_name: Xiao
citation:
  ama: Luks T, Xiao Y. Multiple Points of Operator Semistable Lévy Processes. <i>Journal
    of Theoretical Probability</i>. 2020;33(1):153-179. doi:<a href="https://doi.org/10.1007/s10959-018-0859-4">10.1007/s10959-018-0859-4</a>
  apa: Luks, T., &#38; Xiao, Y. (2020). Multiple Points of Operator Semistable Lévy
    Processes. <i>Journal of Theoretical Probability</i>, <i>33</i>(1), 153–179. <a
    href="https://doi.org/10.1007/s10959-018-0859-4">https://doi.org/10.1007/s10959-018-0859-4</a>
  bibtex: '@article{Luks_Xiao_2020, title={Multiple Points of Operator Semistable
    Lévy Processes}, volume={33}, DOI={<a href="https://doi.org/10.1007/s10959-018-0859-4">10.1007/s10959-018-0859-4</a>},
    number={1}, journal={Journal of Theoretical Probability}, publisher={Springer
    Science and Business Media LLC}, author={Luks, Tomasz and Xiao, Yimin}, year={2020},
    pages={153–179} }'
  chicago: 'Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable
    Lévy Processes.” <i>Journal of Theoretical Probability</i> 33, no. 1 (2020): 153–79.
    <a href="https://doi.org/10.1007/s10959-018-0859-4">https://doi.org/10.1007/s10959-018-0859-4</a>.'
  ieee: 'T. Luks and Y. Xiao, “Multiple Points of Operator Semistable Lévy Processes,”
    <i>Journal of Theoretical Probability</i>, vol. 33, no. 1, pp. 153–179, 2020,
    doi: <a href="https://doi.org/10.1007/s10959-018-0859-4">10.1007/s10959-018-0859-4</a>.'
  mla: Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable Lévy
    Processes.” <i>Journal of Theoretical Probability</i>, vol. 33, no. 1, Springer
    Science and Business Media LLC, 2020, pp. 153–79, doi:<a href="https://doi.org/10.1007/s10959-018-0859-4">10.1007/s10959-018-0859-4</a>.
  short: T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179.
date_created: 2023-01-25T15:12:16Z
date_updated: 2023-01-26T17:19:17Z
department:
- _id: '555'
doi: 10.1007/s10959-018-0859-4
intvolume: '        33'
issue: '1'
language:
- iso: eng
page: 153-179
publication: Journal of Theoretical Probability
publication_identifier:
  issn:
  - 0894-9840
  - 1572-9230
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Multiple Points of Operator Semistable Lévy Processes
type: journal_article
user_id: '58312'
volume: 33
year: '2020'
...
---
_id: '37661'
alternative_title:
- Beta Distributions and Sonine Integrals
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. Beta Distributions and Sonine Integrals for Bessel Functions
    on Symmetric Cones. <i>Studies in Applied Mathematics</i>. 2018;141(4):474-500.
    doi:<a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>
  apa: Rösler, M., &#38; Voit, M. (2018). Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>,
    <i>141</i>(4), 474–500. <a href="https://doi.org/10.1111/sapm.12217">https://doi.org/10.1111/sapm.12217</a>
  bibtex: '@article{Rösler_Voit_2018, title={Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones}, volume={141}, DOI={<a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>},
    number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Rösler,
    Margit and Voit, Michael}, year={2018}, pages={474–500} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>
    141, no. 4 (2018): 474–500. <a href="https://doi.org/10.1111/sapm.12217">https://doi.org/10.1111/sapm.12217</a>.'
  ieee: 'M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel
    Functions on Symmetric Cones,” <i>Studies in Applied Mathematics</i>, vol. 141,
    no. 4, pp. 474–500, 2018, doi: <a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>.'
  mla: Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals
    for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>,
    vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:<a href="https://doi.org/10.1111/sapm.12217">10.1111/sapm.12217</a>.
  short: M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.
date_created: 2023-01-20T09:24:36Z
date_updated: 2023-01-24T22:15:51Z
department:
- _id: '555'
doi: 10.1111/sapm.12217
intvolume: '       141'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 474-500
publication: Studies in Applied Mathematics
publication_identifier:
  issn:
  - 0022-2526
publication_status: published
publisher: Wiley
status: public
title: Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones
type: journal_article
user_id: '93826'
volume: 141
year: '2018'
...
---
_id: '37662'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Piotr
  full_name: Graczyk, Piotr
  last_name: Graczyk
- first_name: Tomasz
  full_name: Luks, Tomasz
  last_name: Luks
citation:
  ama: Rösler M, Graczyk P, Luks T. On the Green Function and Poisson Integrals of
    the Dunkl Laplacian. <i>Potential Analysis</i>. 2018;48(3):337-360. doi:<a href="https://doi.org/10.1007/s11118-017-9638-6">10.1007/s11118-017-9638-6</a>
  apa: Rösler, M., Graczyk, P., &#38; Luks, T. (2018). On the Green Function and Poisson
    Integrals of the Dunkl Laplacian. <i>Potential Analysis</i>, <i>48</i>(3), 337–360.
    <a href="https://doi.org/10.1007/s11118-017-9638-6">https://doi.org/10.1007/s11118-017-9638-6</a>
  bibtex: '@article{Rösler_Graczyk_Luks_2018, title={On the Green Function and Poisson
    Integrals of the Dunkl Laplacian}, volume={48}, DOI={<a href="https://doi.org/10.1007/s11118-017-9638-6">10.1007/s11118-017-9638-6</a>},
    number={3}, journal={Potential Analysis}, publisher={Springer Science and Business
    Media LLC}, author={Rösler, Margit and Graczyk, Piotr and Luks, Tomasz}, year={2018},
    pages={337–360} }'
  chicago: 'Rösler, Margit, Piotr Graczyk, and Tomasz Luks. “On the Green Function
    and Poisson Integrals of the Dunkl Laplacian.” <i>Potential Analysis</i> 48, no.
    3 (2018): 337–60. <a href="https://doi.org/10.1007/s11118-017-9638-6">https://doi.org/10.1007/s11118-017-9638-6</a>.'
  ieee: 'M. Rösler, P. Graczyk, and T. Luks, “On the Green Function and Poisson Integrals
    of the Dunkl Laplacian,” <i>Potential Analysis</i>, vol. 48, no. 3, pp. 337–360,
    2018, doi: <a href="https://doi.org/10.1007/s11118-017-9638-6">10.1007/s11118-017-9638-6</a>.'
  mla: Rösler, Margit, et al. “On the Green Function and Poisson Integrals of the
    Dunkl Laplacian.” <i>Potential Analysis</i>, vol. 48, no. 3, Springer Science
    and Business Media LLC, 2018, pp. 337–60, doi:<a href="https://doi.org/10.1007/s11118-017-9638-6">10.1007/s11118-017-9638-6</a>.
  short: M. Rösler, P. Graczyk, T. Luks, Potential Analysis 48 (2018) 337–360.
date_created: 2023-01-20T09:25:41Z
date_updated: 2023-01-24T22:16:02Z
department:
- _id: '555'
doi: 10.1007/s11118-017-9638-6
intvolume: '        48'
issue: '3'
keyword:
- Analysis
language:
- iso: eng
page: 337-360
publication: Potential Analysis
publication_identifier:
  issn:
  - 0926-2601
  - 1572-929X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On the Green Function and Poisson Integrals of the Dunkl Laplacian
type: journal_article
user_id: '37390'
volume: 48
year: '2018'
...
---
_id: '40050'
author:
- first_name: Boris
  full_name: Baeumer, Boris
  last_name: Baeumer
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
- first_name: Mark M.
  full_name: Meerschaert, Mark M.
  last_name: Meerschaert
citation:
  ama: Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems.
    <i>Mathematische Nachrichten</i>. 2018;291(17-18):2516-2535. doi:<a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>
  apa: Baeumer, B., Luks, T., &#38; Meerschaert, M. M. (2018). Space‐time fractional
    Dirichlet problems. <i>Mathematische Nachrichten</i>, <i>291</i>(17–18), 2516–2535.
    <a href="https://doi.org/10.1002/mana.201700111">https://doi.org/10.1002/mana.201700111</a>
  bibtex: '@article{Baeumer_Luks_Meerschaert_2018, title={Space‐time fractional Dirichlet
    problems}, volume={291}, DOI={<a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>},
    number={17–18}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Baeumer,
    Boris and Luks, Tomasz and Meerschaert, Mark M.}, year={2018}, pages={2516–2535}
    }'
  chicago: 'Baeumer, Boris, Tomasz Luks, and Mark M. Meerschaert. “Space‐time Fractional
    Dirichlet Problems.” <i>Mathematische Nachrichten</i> 291, no. 17–18 (2018): 2516–35.
    <a href="https://doi.org/10.1002/mana.201700111">https://doi.org/10.1002/mana.201700111</a>.'
  ieee: 'B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet
    problems,” <i>Mathematische Nachrichten</i>, vol. 291, no. 17–18, pp. 2516–2535,
    2018, doi: <a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>.'
  mla: Baeumer, Boris, et al. “Space‐time Fractional Dirichlet Problems.” <i>Mathematische
    Nachrichten</i>, vol. 291, no. 17–18, Wiley, 2018, pp. 2516–35, doi:<a href="https://doi.org/10.1002/mana.201700111">10.1002/mana.201700111</a>.
  short: B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018)
    2516–2535.
date_created: 2023-01-25T15:11:01Z
date_updated: 2023-01-26T17:19:39Z
department:
- _id: '555'
doi: 10.1002/mana.201700111
intvolume: '       291'
issue: 17-18
keyword:
- General Mathematics
language:
- iso: eng
page: 2516-2535
publication: Mathematische Nachrichten
publication_identifier:
  issn:
  - 0025-584X
  - 1522-2616
publication_status: published
publisher: Wiley
status: public
title: Space‐time fractional Dirichlet problems
type: journal_article
user_id: '58312'
volume: 291
year: '2018'
...
---
_id: '40065'
author:
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
- first_name: Yimin
  full_name: Xiao, Yimin
  last_name: Xiao
citation:
  ama: Luks T, Xiao Y. On the Double Points of Operator Stable Lévy Processes. <i>Journal
    of Theoretical Probability</i>. 2017;30(1):297-325. doi:<a href="https://doi.org/10.1007/s10959-015-0638-4">10.1007/s10959-015-0638-4</a>
  apa: Luks, T., &#38; Xiao, Y. (2017). On the Double Points of Operator Stable Lévy
    Processes. <i>Journal of Theoretical Probability</i>, <i>30</i>(1), 297–325. <a
    href="https://doi.org/10.1007/s10959-015-0638-4">https://doi.org/10.1007/s10959-015-0638-4</a>
  bibtex: '@article{Luks_Xiao_2017, title={On the Double Points of Operator Stable
    Lévy Processes}, volume={30}, DOI={<a href="https://doi.org/10.1007/s10959-015-0638-4">10.1007/s10959-015-0638-4</a>},
    number={1}, journal={Journal of Theoretical Probability}, publisher={Springer
    Science and Business Media LLC}, author={Luks, Tomasz and Xiao, Yimin}, year={2017},
    pages={297–325} }'
  chicago: 'Luks, Tomasz, and Yimin Xiao. “On the Double Points of Operator Stable
    Lévy Processes.” <i>Journal of Theoretical Probability</i> 30, no. 1 (2017): 297–325.
    <a href="https://doi.org/10.1007/s10959-015-0638-4">https://doi.org/10.1007/s10959-015-0638-4</a>.'
  ieee: 'T. Luks and Y. Xiao, “On the Double Points of Operator Stable Lévy Processes,”
    <i>Journal of Theoretical Probability</i>, vol. 30, no. 1, pp. 297–325, 2017,
    doi: <a href="https://doi.org/10.1007/s10959-015-0638-4">10.1007/s10959-015-0638-4</a>.'
  mla: Luks, Tomasz, and Yimin Xiao. “On the Double Points of Operator Stable Lévy
    Processes.” <i>Journal of Theoretical Probability</i>, vol. 30, no. 1, Springer
    Science and Business Media LLC, 2017, pp. 297–325, doi:<a href="https://doi.org/10.1007/s10959-015-0638-4">10.1007/s10959-015-0638-4</a>.
  short: T. Luks, Y. Xiao, Journal of Theoretical Probability 30 (2017) 297–325.
date_created: 2023-01-25T15:36:07Z
date_updated: 2023-01-26T17:29:43Z
department:
- _id: '555'
doi: 10.1007/s10959-015-0638-4
extern: '1'
intvolume: '        30'
issue: '1'
language:
- iso: eng
page: 297-325
publication: Journal of Theoretical Probability
publication_identifier:
  issn:
  - 0894-9840
  - 1572-9230
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On the Double Points of Operator Stable Lévy Processes
type: journal_article
user_id: '58312'
volume: 30
year: '2017'
...
---
_id: '38032'
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. Integral representation and sharp asymptotic results for
    some Heckman-Opdam hypergeometric functions of type BC. <i>Transactions of the
    American Mathematical Society</i>. 2016;368(8):6005-6032. doi:<a href="https://doi.org/10.48550/ARXIV.1402.5793">10.48550/ARXIV.1402.5793</a>
  apa: Rösler, M., &#38; Voit, M. (2016). Integral representation and sharp asymptotic
    results for some Heckman-Opdam hypergeometric functions of type BC. <i>Transactions
    of the American Mathematical Society</i>, <i>368</i>(8), 6005–6032. <a href="https://doi.org/10.48550/ARXIV.1402.5793">https://doi.org/10.48550/ARXIV.1402.5793</a>
  bibtex: '@article{Rösler_Voit_2016, title={Integral representation and sharp asymptotic
    results for some Heckman-Opdam hypergeometric functions of type BC}, volume={368},
    DOI={<a href="https://doi.org/10.48550/ARXIV.1402.5793">10.48550/ARXIV.1402.5793</a>},
    number={8}, journal={Transactions of the American Mathematical Society}, publisher={
    American Mathematical Society}, author={Rösler, Margit and Voit, Michael}, year={2016},
    pages={6005–6032} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Integral Representation and Sharp Asymptotic
    Results for Some Heckman-Opdam Hypergeometric Functions of Type BC.” <i>Transactions
    of the American Mathematical Society</i> 368, no. 8 (2016): 6005–32. <a href="https://doi.org/10.48550/ARXIV.1402.5793">https://doi.org/10.48550/ARXIV.1402.5793</a>.'
  ieee: 'M. Rösler and M. Voit, “Integral representation and sharp asymptotic results
    for some Heckman-Opdam hypergeometric functions of type BC,” <i>Transactions of
    the American Mathematical Society</i>, vol. 368, no. 8, pp. 6005–6032, 2016, doi:
    <a href="https://doi.org/10.48550/ARXIV.1402.5793">10.48550/ARXIV.1402.5793</a>.'
  mla: Rösler, Margit, and Michael Voit. “Integral Representation and Sharp Asymptotic
    Results for Some Heckman-Opdam Hypergeometric Functions of Type BC.” <i>Transactions
    of the American Mathematical Society</i>, vol. 368, no. 8,  American Mathematical
    Society, 2016, pp. 6005–32, doi:<a href="https://doi.org/10.48550/ARXIV.1402.5793">10.48550/ARXIV.1402.5793</a>.
  short: M. Rösler, M. Voit, Transactions of the American Mathematical Society 368
    (2016) 6005–6032.
date_created: 2023-01-23T08:09:20Z
date_updated: 2023-01-24T22:15:46Z
department:
- _id: '555'
doi: 10.48550/ARXIV.1402.5793
intvolume: '       368'
issue: '8'
language:
- iso: eng
page: 6005-6032
publication: Transactions of the American Mathematical Society
publication_identifier:
  issn:
  - 1088-6850
publication_status: published
publisher: ' American Mathematical Society'
status: public
title: Integral representation and sharp asymptotic results for some Heckman-Opdam
  hypergeometric functions of type BC
type: journal_article
user_id: '37390'
volume: 368
year: '2016'
...
---
_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'
...