[{"status":"public","page":"701-717","publisher":"Elsevier BV","_id":"37663","user_id":"37390","volume":435,"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>","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} }","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.","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>.","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>","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>."},"title":"A multivariate version of the disk convolution","year":"2016","author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"publication_identifier":{"issn":["0022-247X"]},"date_updated":"2023-01-24T22:15:56Z","publication_status":"published","intvolume":"       435","language":[{"iso":"eng"}],"doi":"10.1016/j.jmaa.2015.10.062","issue":"1","publication":"Journal of Mathematical Analysis and Applications","date_created":"2023-01-20T09:26:43Z","keyword":["Applied Mathematics","Analysis"],"type":"journal_article","department":[{"_id":"555"}]},{"doi":"10.1112/jlms/jdw042","language":[{"iso":"eng"}],"date_updated":"2023-01-26T17:20:19Z","publication_status":"published","intvolume":"        94","title":"Hardy–Stein identities and square functions for semigroups","year":"2016","publication_identifier":{"issn":["0024-6107","1469-7750"]},"author":[{"last_name":"Bañuelos","first_name":"Rodrigo","full_name":"Bañuelos, Rodrigo"},{"full_name":"Bogdan, Krzysztof","last_name":"Bogdan","first_name":"Krzysztof"},{"id":"58312","full_name":"Luks, Tomasz","last_name":"Luks","first_name":"Tomasz"}],"type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"555"}],"date_created":"2023-01-25T15:43:14Z","extern":"1","issue":"2","publication":"Journal of the London Mathematical Society","user_id":"58312","volume":94,"page":"462-478","publisher":"Wiley","_id":"40066","status":"public","citation":{"short":"R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 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>.","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>","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>.","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>","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} }","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>."}},{"publication":"Symmetry, Integrability and Geometry: Methods and Applications","issue":"013","type":"journal_article","keyword":["Geometry and Topology","Mathematical Physics","Analysis"],"department":[{"_id":"555"}],"date_created":"2023-01-23T08:18:48Z","publication_status":"published","date_updated":"2023-01-24T22:15:37Z","intvolume":"        11","year":"2015","title":"A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian","publication_identifier":{"issn":["1815-0659"]},"author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"last_name":"Voit","first_name":"Michael","full_name":"Voit, Michael"}],"doi":"10.3842/sigma.2015.013","language":[{"iso":"eng"}],"citation":{"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} }","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>","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.","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>.","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>"},"status":"public","user_id":"93826","volume":11,"page":"18pp","_id":"38037","publisher":"SIGMA (Symmetry, Integrability and Geometry: Methods and Application)"},{"citation":{"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>.","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>","short":"M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 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>.","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>.","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} }","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>"},"status":"public","_id":"37667","publisher":"Elsevier BV","page":"30-48","volume":197,"user_id":"93826","publication":"Journal of Approximation Theory","date_created":"2023-01-20T09:30:22Z","department":[{"_id":"555"}],"type":"journal_article","keyword":["Applied Mathematics","General Mathematics","Numerical Analysis","Analysis"],"publication_identifier":{"issn":["0021-9045"]},"author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"last_name":"Remling","first_name":"Heiko","full_name":"Remling, Heiko"}],"year":"2014","title":"Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians","intvolume":"       197","publication_status":"published","date_updated":"2023-01-24T22:15:33Z","language":[{"iso":"eng"}],"doi":"10.1016/j.jat.2014.07.005"},{"citation":{"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} }","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>","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>.","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>.","short":"K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.","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>.","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>"},"status":"public","volume":44,"user_id":"58312","_id":"40068","publisher":"Hiroshima University - Department of Mathematics","page":"193-215","extern":"1","issue":"2","publication":"Hiroshima Mathematical Journal","department":[{"_id":"555"}],"type":"journal_article","date_created":"2023-01-25T15:46:01Z","intvolume":"        44","date_updated":"2023-01-26T17:20:41Z","publication_status":"published","publication_identifier":{"issn":["0018-2079"]},"author":[{"last_name":"Bogdan","first_name":"Krzysztof","full_name":"Bogdan, Krzysztof"},{"first_name":"Bartłomiej","last_name":"Dyda","full_name":"Dyda, Bartłomiej"},{"last_name":"Luks","first_name":"Tomasz","full_name":"Luks, Tomasz","id":"58312"}],"title":"On Hardy spaces of local and nonlocal operators","year":"2014","doi":"10.32917/hmj/1408972907","language":[{"iso":"eng"}]},{"citation":{"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>.","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>","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} }","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>","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>.","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>.","short":"M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400."},"_id":"37672","publisher":"Wiley","page":"1381-1400","volume":149,"user_id":"93826","status":"public","date_created":"2023-01-20T09:37:16Z","department":[{"_id":"555"}],"type":"journal_article","keyword":["Algebra and Number Theory"],"issue":"8","publication":"Compositio Mathematica","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>"}],"language":[{"iso":"eng"}],"doi":"10.1112/s0010437x13007045","publication_identifier":{"issn":["0010-437X","1570-5846"]},"author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"first_name":"Tom","last_name":"Koornwinder","full_name":"Koornwinder, Tom"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"year":"2013","title":"Limit transition between hypergeometric functions of type BC and type A","intvolume":"       149","date_updated":"2023-01-24T22:15:13Z","publication_status":"published"},{"user_id":"93826","doi":"10.48550/ARXIV.1210.1351","_id":"38038","language":[{"iso":"eng"}],"publisher":"Heldermann ","page":"899--920","publication_status":"published","date_updated":"2023-01-24T22:15:26Z","author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"title":"Olshanski spherical functions for infinite dimensional motion groups of fixed rank","year":"2013","status":"public","department":[{"_id":"555"}],"type":"journal_article","date_created":"2023-01-23T08:26:17Z","citation":{"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>","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>.","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>.","short":"M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.","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>.","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>","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} }"},"publication":"Journal of Lie Theory 23","issue":"4"},{"user_id":"58312","volume":39,"page":"29-67","_id":"40072","publisher":"Springer Science and Business Media LLC","status":"public","citation":{"ama":"Luks T. 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Luks, Potential Analysis 39 (2013) 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>.","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>","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>."},"doi":"10.1007/s11118-012-9321-x","language":[{"iso":"eng"}],"date_updated":"2023-01-26T17:29:16Z","publication_status":"published","intvolume":"        39","year":"2013","title":"Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane","author":[{"full_name":"Luks, Tomasz","first_name":"Tomasz","last_name":"Luks","id":"58312"}],"publication_identifier":{"issn":["0926-2601","1572-929X"]},"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-25T15:50:45Z","extern":"1","issue":"1","publication":"Potential Analysis"},{"_id":"40070","publisher":"Springer Science and Business Media LLC","page":"1043-1070","volume":17,"user_id":"58312","status":"public","citation":{"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>.","short":"P. 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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>","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} }","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>."},"language":[{"iso":"eng"}],"doi":"10.1007/s11117-012-0220-6","author":[{"first_name":"Piotr","last_name":"Graczyk","full_name":"Graczyk, Piotr"},{"last_name":"Jakubowski","first_name":"Tomasz","full_name":"Jakubowski, Tomasz"},{"first_name":"Tomasz","last_name":"Luks","full_name":"Luks, Tomasz","id":"58312"}],"publication_identifier":{"issn":["1385-1292","1572-9281"]},"year":"2013","title":"Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation","intvolume":"        17","date_updated":"2023-01-26T17:21:01Z","publication_status":"published","date_created":"2023-01-25T15:49:25Z","department":[{"_id":"555"}],"type":"journal_article","issue":"4","publication":"Positivity","extern":"1"},{"volume":204,"user_id":"58312","_id":"40073","publisher":"Institute of Mathematics, Polish Academy of Sciences","page":"39-62","status":"public","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>","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} }","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>.","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>.","short":"T. Luks, Studia Mathematica 204 (2011) 39–62.","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>","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>."},"doi":"10.4064/sm204-1-3","language":[{"iso":"eng"}],"intvolume":"       204","date_updated":"2023-01-26T17:21:25Z","publication_status":"published","author":[{"id":"58312","last_name":"Luks","first_name":"Tomasz","full_name":"Luks, Tomasz"}],"publication_identifier":{"issn":["0039-3223","1730-6337"]},"year":"2011","title":"Hardy spaces for the Laplacian with lower order perturbations","department":[{"_id":"555"}],"type":"journal_article","date_created":"2023-01-25T15:52:13Z","extern":"1","publication":"Studia Mathematica","issue":"1"},{"citation":{"ieee":"M. Rösler and H. 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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>.","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} }","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>"},"status":"public","user_id":"93826","page":"4200–4225","publisher":"Oxford University Press (OUP)","_id":"39911","extern":"1","publication":"International Mathematics Research Notices","issue":"18","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-25T09:26:07Z","publication_status":"published","date_updated":"2023-01-26T17:50:05Z","title":"The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform","year":"2011","publication_identifier":{"issn":["1073-7928","1687-0247"]},"author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"},{"full_name":"Remling, H.","last_name":"Remling","first_name":"H."}],"doi":"10.1093/imrn/rnq239","language":[{"iso":"eng"}]},{"page":"87-104","_id":"39921","publisher":"Wiley","user_id":"93826","volume":284,"status":"public","citation":{"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>.","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>","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} }","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>","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>.","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>.","short":"M. Rösler, M. 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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>","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.","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>.","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>"},"publisher":"Elsevier BV","_id":"39924","page":"2779-2800","volume":258,"user_id":"93826","status":"public"},{"date_created":"2023-01-25T10:01:16Z","type":"conference","department":[{"_id":"555"}],"publication":"Infinite Dimensional Harmonic Analysis IV","citation":{"ieee":"M. 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World Scientific, 2009. <a href=\"https://doi.org/10.1142/9789812832825_0017\">https://doi.org/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>.","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} }","ama":"Rösler M. Convolution algebras for multivariable Bessel functions. In: <i>Infinite Dimensional Harmonic Analysis IV</i>. 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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>","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} }","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. 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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>."},"status":"public","user_id":"93826","volume":4,"page":"9pp","publisher":"SIGMA (Symmetry, Integrability and Geometry: Methods and Application)","_id":"39941","extern":"1","publication":"Symmetry, Integrability and Geometry: Methods and Applications","issue":"083","type":"journal_article","keyword":["Geometry and Topology","Mathematical Physics","Analysis"],"department":[{"_id":"555"}],"date_created":"2023-01-25T09:50:01Z","publication_status":"published","date_updated":"2023-01-26T17:47:57Z","intvolume":"         4","title":"A Limit Relation for Dunkl-Bessel Functions of Type A and B","year":"2008","publication_identifier":{"issn":["1815-0659"]},"author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"doi":"10.3842/sigma.2008.083","language":[{"iso":"eng"}]},{"_id":"39947","publisher":"Wiley","page":"749-779","volume":143,"user_id":"93826","status":"public","citation":{"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>.","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} }","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>","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>.","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>","short":"M. Rösler, Compositio Mathematica 143 (2007) 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>."},"language":[{"iso":"eng"}],"doi":"10.1112/s0010437x06002594","author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"}],"publication_identifier":{"issn":["0010-437X","1570-5846"]},"title":"Bessel convolutions on matrix cones","year":"2007","intvolume":"       143","date_updated":"2023-01-26T17:47:42Z","publication_status":"published","date_created":"2023-01-25T09:55:18Z","department":[{"_id":"555"}],"keyword":["Algebra and Number Theory"],"type":"journal_article","issue":"03","publication":"Compositio Mathematica","extern":"1"},{"year":"2006","title":"SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts","author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"publication_identifier":{"issn":["0167-8019","1572-9036"]},"publication_status":"published","date_updated":"2023-01-26T17:47:14Z","intvolume":"        90","language":[{"iso":"eng"}],"doi":"10.1007/s10440-006-9035-4","publication":"Acta Applicandae Mathematicae","issue":"1-2","extern":"1","date_created":"2023-01-25T09:57:30Z","keyword":["Applied Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"179-195","_id":"39948","publisher":"Springer Science and Business Media LLC","user_id":"37390","volume":90,"citation":{"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>.","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>","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} }","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>","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>.","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>.","short":"M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195."}},{"user_id":"93826","volume":22,"page":"193-218","publisher":"Springer Science and Business Media LLC","_id":"39951","status":"public","citation":{"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>","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>.","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>.","short":"M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.","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>.","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>","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} }"},"doi":"10.1007/s00365-004-0587-0","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-01-26T17:44:30Z","intvolume":"        22","year":"2005","title":"Radial Multiresolution in Dimension Three","publication_identifier":{"issn":["0176-4276","1432-0940"]},"author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"},{"full_name":"Rauhut, Holger","first_name":"Holger","last_name":"Rauhut"}],"keyword":["Computational Mathematics","General Mathematics","Analysis"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-25T10:04:35Z","extern":"1","publication":"Constructive Approximation","issue":"2"},{"publication":"Infinite Dimensional Harmonic Analysis III","citation":{"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>.","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>","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>.","short":"M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264.","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>.","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} }","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>"},"extern":"1","date_created":"2023-01-25T09:59:21Z","type":"conference","department":[{"_id":"555"}],"status":"public","year":"2005","title":"Deformations of convolution semigroups on commutative hypergroups","author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"},{"full_name":"VOIT, MICHAEL","first_name":"MICHAEL","last_name":"VOIT"}],"publication_status":"published","date_updated":"2023-01-26T17:46:04Z","page":" 249–264","_id":"39949","language":[{"iso":"eng"}],"publisher":"World Scientific Publ.","user_id":"37390","doi":"10.1142/9789812701503_0016"},{"date_created":"2023-01-26T11:05:33Z","department":[{"_id":"555"}],"type":"journal_article","publication":"International Mathematics Research Notices","issue":"63","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."}],"extern":"1","language":[{"iso":"eng"}],"doi":"10.48550/ARXIV.MATH/0405368","author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"year":"2004","title":"Positivity of Dunkl's intertwining operator via the trigonometric setting","date_updated":"2023-01-26T17:28:09Z","publication_status":"published","citation":{"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>.","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>","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>.","short":"M. Rösler, M. Voit, International Mathematics Research Notices (2004) 3379–3389.","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>.","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} }","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>"},"publisher":"Oxford University Press","_id":"40320","page":"3379–3389","user_id":"93826","status":"public"}]