[{"date_updated":"2024-06-20T06:44:52Z","publisher":"Hermann Mathematiques","date_created":"2024-06-20T06:44:27Z","author":[{"last_name":"Rösler","id":"37390","full_name":"Rösler, Margit","first_name":"Margit"},{"first_name":"Michael","full_name":"Voit, Michael","last_name":"Voit"}],"title":"Dunkl theory, convolution algebras, and related Markov processes","publication_status":"published","publication_identifier":{"isbn":["9782705668105"]},"place":"Paris","year":"2008","citation":{"apa":"Rösler, M., &#38; Voit, M. (2008). Dunkl theory, convolution algebras, and related Markov processes. In <i>Harmonic and stochastic analysis of Dunkl processes</i> (pp. 1–112). Hermann Mathematiques.","bibtex":"@inbook{Rösler_Voit_2008, place={Paris}, title={Dunkl theory, convolution algebras, and related Markov processes}, booktitle={Harmonic and stochastic analysis of Dunkl processes}, publisher={Hermann Mathematiques}, author={Rösler, Margit and Voit, Michael}, year={2008}, pages={1–112} }","mla":"Rösler, Margit, and Michael Voit. “Dunkl Theory, Convolution Algebras, and Related Markov Processes.” <i>Harmonic and Stochastic Analysis of Dunkl Processes</i>, Hermann Mathematiques, 2008, pp. 1–112.","short":"M. Rösler, M. Voit, in: Harmonic and Stochastic Analysis of Dunkl Processes, Hermann Mathematiques, Paris, 2008, pp. 1–112.","chicago":"Rösler, Margit, and Michael Voit. “Dunkl Theory, Convolution Algebras, and Related Markov Processes.” In <i>Harmonic and Stochastic Analysis of Dunkl Processes</i>, 1–112. Paris: Hermann Mathematiques, 2008.","ieee":"M. Rösler and M. Voit, “Dunkl theory, convolution algebras, and related Markov processes,” in <i>Harmonic and stochastic analysis of Dunkl processes</i>, Paris: Hermann Mathematiques, 2008, pp. 1–112.","ama":"Rösler M, Voit M. Dunkl theory, convolution algebras, and related Markov processes. In: <i>Harmonic and Stochastic Analysis of Dunkl Processes</i>. Hermann Mathematiques; 2008:1-112."},"page":"1-112","_id":"54831","user_id":"82981","language":[{"iso":"eng"}],"type":"book_chapter","publication":"Harmonic and stochastic analysis of Dunkl processes","status":"public"},{"citation":{"apa":"Rösler, M., &#38; Voit, M. (2008). A Limit Relation for Dunkl-Bessel Functions of Type A and B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, <i>4</i>(083), 9pp. <a href=\"https://doi.org/10.3842/sigma.2008.083\">https://doi.org/10.3842/sigma.2008.083</a>","short":"M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 4 (2008) 9pp.","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>.","ama":"Rösler M, Voit M. A Limit Relation for Dunkl-Bessel Functions of Type A and B. <i>Symmetry, Integrability and Geometry: Methods and Applications</i>. 2008;4(083):9pp. doi:<a href=\"https://doi.org/10.3842/sigma.2008.083\">10.3842/sigma.2008.083</a>","chicago":"Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions of Type A and B.” <i>Symmetry, Integrability and Geometry: Methods and Applications</i> 4, no. 083 (2008): 9pp. <a href=\"https://doi.org/10.3842/sigma.2008.083\">https://doi.org/10.3842/sigma.2008.083</a>.","ieee":"M. Rösler and M. Voit, “A Limit Relation for Dunkl-Bessel Functions of Type A and B,” <i>Symmetry, Integrability and Geometry: Methods and Applications</i>, vol. 4, no. 083, p. 9pp, 2008, doi: <a href=\"https://doi.org/10.3842/sigma.2008.083\">10.3842/sigma.2008.083</a>."},"page":"9pp","intvolume":"         4","year":"2008","issue":"083","publication_status":"published","publication_identifier":{"issn":["1815-0659"]},"doi":"10.3842/sigma.2008.083","title":"A Limit Relation for Dunkl-Bessel Functions of Type A and B","date_created":"2023-01-25T09:50:01Z","author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"last_name":"Voit","full_name":"Voit, Michael","first_name":"Michael"}],"volume":4,"publisher":"SIGMA (Symmetry, Integrability and Geometry: Methods and Application)","date_updated":"2023-01-26T17:47:57Z","status":"public","type":"journal_article","publication":"Symmetry, Integrability and Geometry: Methods and Applications","language":[{"iso":"eng"}],"extern":"1","keyword":["Geometry and Topology","Mathematical Physics","Analysis"],"user_id":"93826","department":[{"_id":"555"}],"_id":"39941"},{"doi":"10.1112/s0010437x06002594","date_updated":"2023-01-26T17:47:42Z","author":[{"last_name":"Rösler","id":"37390","full_name":"Rösler, Margit","first_name":"Margit"}],"volume":143,"citation":{"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>","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} }","short":"M. Rösler, Compositio Mathematica 143 (2007) 749–779.","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>.","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>.","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>"},"intvolume":"       143","page":"749-779","publication_status":"published","publication_identifier":{"issn":["0010-437X","1570-5846"]},"extern":"1","_id":"39947","user_id":"93826","department":[{"_id":"555"}],"status":"public","type":"journal_article","title":"Bessel convolutions on matrix cones","publisher":"Wiley","date_created":"2023-01-25T09:55:18Z","year":"2007","issue":"03","keyword":["Algebra and Number Theory"],"language":[{"iso":"eng"}],"publication":"Compositio Mathematica"},{"extern":"1","_id":"39948","user_id":"37390","department":[{"_id":"555"}],"status":"public","type":"journal_article","doi":"10.1007/s10440-006-9035-4","date_updated":"2023-01-26T17:47:14Z","author":[{"full_name":"Rösler, Margit","id":"37390","last_name":"Rösler","first_name":"Margit"},{"first_name":"Michael","full_name":"Voit, Michael","last_name":"Voit"}],"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>.","short":"M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.","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>","chicago":"Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C) and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i> 90, no. 1–2 (2006): 179–95. <a href=\"https://doi.org/10.1007/s10440-006-9035-4\">https://doi.org/10.1007/s10440-006-9035-4</a>.","ieee":"M. Rösler and M. Voit, “SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts,” <i>Acta Applicandae Mathematicae</i>, vol. 90, no. 1–2, pp. 179–195, 2006, doi: <a href=\"https://doi.org/10.1007/s10440-006-9035-4\">10.1007/s10440-006-9035-4</a>.","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>"},"intvolume":"        90","page":"179-195","publication_status":"published","publication_identifier":{"issn":["0167-8019","1572-9036"]},"keyword":["Applied Mathematics"],"language":[{"iso":"eng"}],"publication":"Acta Applicandae Mathematicae","title":"SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts","publisher":"Springer Science and Business Media LLC","date_created":"2023-01-25T09:57:30Z","year":"2006","issue":"1-2"},{"date_created":"2023-01-25T10:04:35Z","author":[{"full_name":"Rösler, Margit","id":"37390","last_name":"Rösler","first_name":"Margit"},{"first_name":"Holger","full_name":"Rauhut, Holger","last_name":"Rauhut"}],"volume":22,"publisher":"Springer Science and Business Media LLC","date_updated":"2023-01-26T17:44:30Z","doi":"10.1007/s00365-004-0587-0","title":"Radial Multiresolution in Dimension Three","issue":"2","publication_status":"published","publication_identifier":{"issn":["0176-4276","1432-0940"]},"citation":{"ama":"Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. <i>Constructive Approximation</i>. 2005;22(2):193-218. doi:<a href=\"https://doi.org/10.1007/s00365-004-0587-0\">10.1007/s00365-004-0587-0</a>","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>.","mla":"Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.” <i>Constructive Approximation</i>, vol. 22, no. 2, Springer Science and Business Media LLC, 2005, pp. 193–218, doi:<a href=\"https://doi.org/10.1007/s00365-004-0587-0\">10.1007/s00365-004-0587-0</a>.","short":"M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.","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} }","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>"},"page":"193-218","intvolume":"        22","year":"2005","user_id":"93826","department":[{"_id":"555"}],"_id":"39951","extern":"1","language":[{"iso":"eng"}],"keyword":["Computational Mathematics","General Mathematics","Analysis"],"type":"journal_article","publication":"Constructive Approximation","status":"public"},{"year":"2005","citation":{"short":"M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264.","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} }","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>.","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>","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>","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>.","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>."},"page":" 249–264","publication_status":"published","title":"Deformations of convolution semigroups on commutative hypergroups","doi":"10.1142/9789812701503_0016","date_updated":"2023-01-26T17:46:04Z","publisher":"World Scientific Publ.","date_created":"2023-01-25T09:59:21Z","author":[{"first_name":"Margit","last_name":"Rösler","id":"37390","full_name":"Rösler, Margit"},{"last_name":"VOIT","full_name":"VOIT, MICHAEL","first_name":"MICHAEL"}],"status":"public","type":"conference","publication":"Infinite Dimensional Harmonic Analysis III","language":[{"iso":"eng"}],"extern":"1","_id":"39949","user_id":"37390","department":[{"_id":"555"}]},{"abstract":[{"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.","lang":"eng"}],"status":"public","type":"journal_article","publication":"International Mathematics Research Notices","language":[{"iso":"eng"}],"extern":"1","_id":"40320","user_id":"93826","department":[{"_id":"555"}],"year":"2004","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>.","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>.","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>","mla":"Rösler, Margit, and Michael Voit. “Positivity of Dunkl’s Intertwining Operator via the Trigonometric Setting.” <i>International Mathematics Research Notices</i>, no. 63, Oxford University Press, 2004, pp. 3379–3389, doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0405368\">10.48550/ARXIV.MATH/0405368</a>.","short":"M. Rösler, M. Voit, International Mathematics Research Notices (2004) 3379–3389.","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} }","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>"},"page":"3379–3389","publication_status":"published","publication_identifier":{"issn":["1073-7928","1687-0247"]},"issue":"63","title":"Positivity of Dunkl's intertwining operator via the trigonometric setting","doi":"10.48550/ARXIV.MATH/0405368","publisher":"Oxford University Press","date_updated":"2023-01-26T17:28:09Z","date_created":"2023-01-26T11:05:33Z","author":[{"last_name":"Rösler","full_name":"Rösler, Margit","id":"37390","first_name":"Margit"},{"last_name":"Voit","full_name":"Voit, Michael","first_name":"Michael"}]},{"place":"Berlin, Heidelberg","year":"2003","page":"93–135","citation":{"apa":"Rösler, M. (2003). Dunkl Operators: Theory and Applications. In <i>Lecture Notes in Mathematics</i> (pp. 93–135). Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/3-540-44945-0_3\">https://doi.org/10.1007/3-540-44945-0_3</a>","short":"M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.","bibtex":"@inbook{Rösler_2003, place={Berlin, Heidelberg}, title={Dunkl Operators: Theory and Applications}, DOI={<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>}, booktitle={Lecture Notes in Mathematics}, publisher={Springer Berlin Heidelberg}, author={Rösler, Margit}, year={2003}, pages={93–135} }","mla":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>.","chicago":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” In <i>Lecture Notes in Mathematics</i>, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. <a href=\"https://doi.org/10.1007/3-540-44945-0_3\">https://doi.org/10.1007/3-540-44945-0_3</a>.","ieee":"M. Rösler, “Dunkl Operators: Theory and Applications,” in <i>Lecture Notes in Mathematics</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp. 93–135.","ama":"Rösler M. Dunkl Operators: Theory and Applications. In: <i>Lecture Notes in Mathematics</i>. Springer Berlin Heidelberg; 2003:93–135. doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>"},"publication_identifier":{"isbn":["9783540403753","9783540449454"],"issn":["0075-8434"]},"publication_status":"published","title":"Dunkl Operators: Theory and Applications","doi":"10.1007/3-540-44945-0_3","date_updated":"2023-01-26T17:44:19Z","publisher":"Springer Berlin Heidelberg","date_created":"2023-01-25T10:09:14Z","author":[{"last_name":"Rösler","full_name":"Rösler, Margit","id":"37390","first_name":"Margit"}],"status":"public","publication":"Lecture Notes in Mathematics","type":"book_chapter","extern":"1","language":[{"iso":"eng"}],"_id":"39956","department":[{"_id":"555"}],"user_id":"93826"},{"language":[{"iso":"eng"}],"abstract":[{"text":"It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is proven, namely a positive radial product formula for the non-symmetric counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby means that one of the factors in the product formula is replaced by its mean over a sphere. The key to this product formula is a positivity result for the Dunkl-type spherical mean operator. It can also be interpreted in the sense that the Dunkl-type generalized translation of radial functions is positivity-preserving. As an application, we construct Dunkl-type homogeneous Markov processes associated with radial probability distributions.","lang":"eng"}],"publication":"Transactions of the American Mathematical Society","title":"A positive radial product formula for the Dunkl kernel","publisher":"American Mathematical Society (AMS)","date_created":"2023-01-25T10:17:51Z","year":"2003","issue":"6","extern":"1","_id":"39957","user_id":"93826","department":[{"_id":"555"}],"status":"public","type":"journal_article","doi":"10.48550/ARXIV.MATH/0210137","date_updated":"2023-01-26T17:44:10Z","author":[{"last_name":"Rösler","id":"37390","full_name":"Rösler, Margit","first_name":"Margit"}],"volume":355,"citation":{"ama":"Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>","ieee":"M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003, doi: <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","chicago":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.","apa":"Rösler, M. (2003). A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>","bibtex":"@article{Rösler_2003, title={A positive radial product formula for the Dunkl kernel}, volume={355}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>}, number={6}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438} }","mla":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical Society (AMS), 2003, pp. 2413–2438, doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","short":"M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438."},"intvolume":"       355","page":"2413–2438","publication_status":"published"},{"year":"2002","citation":{"ama":"Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. <i>Journal of Approximation Theory</i>. 2002;119(1):110-126. doi:<a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>","chicago":"Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.” <i>Journal of Approximation Theory</i> 119, no. 1 (2002): 110–26. <a href=\"https://doi.org/10.1006/jath.2002.3722\">https://doi.org/10.1006/jath.2002.3722</a>.","ieee":"M. Rösler and M. de Jeu, “Asymptotic Analysis for the Dunkl Kernel,” <i>Journal of Approximation Theory</i>, vol. 119, no. 1, pp. 110–126, 2002, doi: <a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>.","apa":"Rösler, M., &#38; de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel. <i>Journal of Approximation Theory</i>, <i>119</i>(1), 110–126. <a href=\"https://doi.org/10.1006/jath.2002.3722\">https://doi.org/10.1006/jath.2002.3722</a>","bibtex":"@article{Rösler_de Jeu_2002, title={Asymptotic Analysis for the Dunkl Kernel}, volume={119}, DOI={<a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>}, number={1}, journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler, Margit and de Jeu, Marcel}, year={2002}, pages={110–126} }","mla":"Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.” <i>Journal of Approximation Theory</i>, vol. 119, no. 1, Elsevier BV, 2002, pp. 110–26, doi:<a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>.","short":"M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126."},"page":"110-126","intvolume":"       119","publication_status":"published","publication_identifier":{"issn":["0021-9045"]},"issue":"1","title":"Asymptotic Analysis for the Dunkl Kernel","doi":"10.1006/jath.2002.3722","publisher":"Elsevier BV","date_updated":"2023-01-26T17:44:02Z","date_created":"2023-01-25T10:20:13Z","author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"last_name":"de Jeu","full_name":"de Jeu, Marcel","first_name":"Marcel"}],"volume":119,"status":"public","type":"journal_article","publication":"Journal of Approximation Theory","keyword":["Applied Mathematics","General Mathematics","Numerical Analysis","Analysis"],"language":[{"iso":"eng"}],"extern":"1","_id":"39959","user_id":"93826","department":[{"_id":"555"}]},{"type":"conference","publication":"Infinite dimensional harmonic analysis (Kyoto 1999)","status":"public","user_id":"93826","department":[{"_id":"555"}],"_id":"40652","extern":"1","language":[{"iso":"eng"}],"publication_status":"published","citation":{"short":"M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.","mla":"Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models of Calogero Type.” <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>, Gräbner-Verlag, 2000, pp. 290–305.","bibtex":"@inproceedings{Rösler_2000, title={One-parameter semigroups related to abstract quantum models of Calogero type}, booktitle={Infinite dimensional harmonic analysis (Kyoto 1999)}, publisher={Gräbner-Verlag}, author={Rösler, Margit}, year={2000}, pages={290–305} }","apa":"Rösler, M. (2000). One-parameter semigroups related to abstract quantum models of Calogero type. <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>, 290–305.","chicago":"Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models of Calogero Type.” In <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>, 290–305. Gräbner-Verlag, 2000.","ieee":"M. Rösler, “One-parameter semigroups related to abstract quantum models of Calogero type,” in <i>Infinite dimensional harmonic analysis (Kyoto 1999)</i>, 2000, pp. 290–305.","ama":"Rösler M. One-parameter semigroups related to abstract quantum models of Calogero type. In: <i>Infinite Dimensional Harmonic Analysis (Kyoto 1999)</i>. Gräbner-Verlag; 2000:290-305."},"page":"290-305","year":"2000","date_created":"2023-01-30T11:04:33Z","author":[{"last_name":"Rösler","id":"37390","full_name":"Rösler, Margit","first_name":"Margit"}],"publisher":"Gräbner-Verlag","date_updated":"2024-04-24T12:48:43Z","title":"One-parameter semigroups related to abstract quantum models of Calogero type"},{"_id":"40172","department":[{"_id":"555"}],"user_id":"37390","language":[{"iso":"eng"}],"extern":"1","publication":"Special Functions (HongKong 1999)","type":"conference","status":"public","date_updated":"2023-01-26T17:43:19Z","publisher":"World Scientific","author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"}],"date_created":"2023-01-26T07:59:08Z","title":"Short-time estimates for heat kernels associated with root systems","doi":"10.1142/9789812792303_0024","publication_status":"published","year":"2000","page":"309-323","citation":{"ama":"Rösler M. Short-time estimates for heat kernels associated with root systems. In: <i>Special Functions (HongKong 1999)</i>. World Scientific; 2000:309-323. doi:<a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>","ieee":"M. Rösler, “Short-time estimates for heat kernels associated with root systems,” in <i>Special Functions (HongKong 1999)</i>, 2000, pp. 309–323, doi: <a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>.","chicago":"Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root Systems.” In <i>Special Functions (HongKong 1999)</i>, 309–23. World Scientific, 2000. <a href=\"https://doi.org/10.1142/9789812792303_0024\">https://doi.org/10.1142/9789812792303_0024</a>.","apa":"Rösler, M. (2000). Short-time estimates for heat kernels associated with root systems. <i>Special Functions (HongKong 1999)</i>, 309–323. <a href=\"https://doi.org/10.1142/9789812792303_0024\">https://doi.org/10.1142/9789812792303_0024</a>","bibtex":"@inproceedings{Rösler_2000, title={Short-time estimates for heat kernels associated with root systems}, DOI={<a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>}, booktitle={Special Functions (HongKong 1999)}, publisher={World Scientific}, author={Rösler, Margit}, year={2000}, pages={309–323} }","short":"M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.","mla":"Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root Systems.” <i>Special Functions (HongKong 1999)</i>, World Scientific, 2000, pp. 309–23, doi:<a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>."}},{"status":"public","type":"misc","language":[{"iso":"eng"}],"ddc":["510"],"user_id":"82981","_id":"54833","citation":{"apa":"Rösler, M. (1999). <i>Contributions to the theory of Dunkl operators</i>.","mla":"Rösler, Margit. <i>Contributions to the Theory of Dunkl Operators</i>. 1999.","bibtex":"@book{Rösler_1999, place={TU München}, title={Contributions to the theory of Dunkl operators}, author={Rösler, Margit}, year={1999} }","short":"M. Rösler, Contributions to the Theory of Dunkl Operators, TU München, 1999.","chicago":"Rösler, Margit. <i>Contributions to the Theory of Dunkl Operators</i>. TU München, 1999.","ieee":"M. Rösler, <i>Contributions to the theory of Dunkl operators</i>. TU München, 1999.","ama":"Rösler M. <i>Contributions to the Theory of Dunkl Operators</i>.; 1999."},"year":"1999","place":"TU München","related_material":{"link":[{"relation":"confirmation","url":"https://math.uni-paderborn.de/fileadmin-eim/mathematik/AG_Harmonische_Analysis/Publications_Roesler/complete.pdf"}]},"title":"Contributions to the theory of Dunkl operators","author":[{"last_name":"Rösler","id":"37390","full_name":"Rösler, Margit","first_name":"Margit"}],"date_created":"2024-06-20T07:04:40Z","date_updated":"2024-08-13T09:52:07Z"},{"publication":"Bulletin of the Australian Mathematical Society","abstract":[{"text":"<jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>. Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>","lang":"eng"}],"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"issue":"3","year":"1999","publisher":"Cambridge University Press (CUP)","date_created":"2023-01-26T08:19:30Z","title":"An uncertainty principle for the Dunkl transform","type":"journal_article","status":"public","_id":"40184","department":[{"_id":"555"}],"user_id":"93826","extern":"1","publication_identifier":{"issn":["0004-9727","1755-1633"]},"publication_status":"published","intvolume":"        59","page":"353-360","citation":{"chicago":"Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin of the Australian Mathematical Society</i> 59, no. 3 (1999): 353–60. <a href=\"https://doi.org/10.1017/s0004972700033025\">https://doi.org/10.1017/s0004972700033025</a>.","ieee":"M. Rösler, “An uncertainty principle for the Dunkl transform,” <i>Bulletin of the Australian Mathematical Society</i>, vol. 59, no. 3, pp. 353–360, 1999, doi: <a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>.","ama":"Rösler M. An uncertainty principle for the Dunkl transform. <i>Bulletin of the Australian Mathematical Society</i>. 1999;59(3):353-360. doi:<a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>","apa":"Rösler, M. (1999). An uncertainty principle for the Dunkl transform. <i>Bulletin of the Australian Mathematical Society</i>, <i>59</i>(3), 353–360. <a href=\"https://doi.org/10.1017/s0004972700033025\">https://doi.org/10.1017/s0004972700033025</a>","bibtex":"@article{Rösler_1999, title={An uncertainty principle for the Dunkl transform}, volume={59}, DOI={<a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>}, number={3}, journal={Bulletin of the Australian Mathematical Society}, publisher={Cambridge University Press (CUP)}, author={Rösler, Margit}, year={1999}, pages={353–360} }","mla":"Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin of the Australian Mathematical Society</i>, vol. 59, no. 3, Cambridge University Press (CUP), 1999, pp. 353–60, doi:<a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>.","short":"M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360."},"date_updated":"2023-01-26T17:40:13Z","volume":59,"author":[{"first_name":"Margit","full_name":"Rösler, Margit","id":"37390","last_name":"Rösler"}],"doi":"10.1017/s0004972700033025"},{"citation":{"ama":"Rösler M. Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical Journal</i>. 1999;98(3):445-463. doi:<a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>","chicago":"Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke Mathematical Journal</i> 98, no. 3 (1999): 445–63. <a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">https://doi.org/10.1215/s0012-7094-99-09813-7</a>.","ieee":"M. Rösler, “Positivity of Dunkl’s intertwining operator,” <i>Duke Mathematical Journal</i>, vol. 98, no. 3, pp. 445–463, 1999, doi: <a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>.","bibtex":"@article{Rösler_1999, title={Positivity of Dunkl’s intertwining operator}, volume={98}, DOI={<a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>}, number={3}, journal={Duke Mathematical Journal}, publisher={Duke University Press}, author={Rösler, Margit}, year={1999}, pages={445–463} }","short":"M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.","mla":"Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke Mathematical Journal</i>, vol. 98, no. 3, Duke University Press, 1999, pp. 445–63, doi:<a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>.","apa":"Rösler, M. (1999). Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical Journal</i>, <i>98</i>(3), 445–463. <a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">https://doi.org/10.1215/s0012-7094-99-09813-7</a>"},"page":"445-463","intvolume":"        98","publication_status":"published","publication_identifier":{"issn":["0012-7094"]},"doi":"10.1215/s0012-7094-99-09813-7","date_updated":"2023-01-26T17:40:05Z","author":[{"first_name":"Margit","last_name":"Rösler","id":"37390","full_name":"Rösler, Margit"}],"volume":98,"status":"public","type":"journal_article","extern":"1","_id":"40189","user_id":"93826","department":[{"_id":"555"}],"year":"1999","issue":"3","title":"Positivity of Dunkl’s intertwining operator","publisher":"Duke University Press","date_created":"2023-01-26T08:25:43Z","publication":"Duke Mathematical Journal","keyword":["General Mathematics"],"language":[{"iso":"eng"}]},{"year":"1999","citation":{"apa":"Rösler, M., &#38; Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups. <i>Canadian Journal of Mathematics</i>, <i>51</i>(1), 96–116. <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">https://doi.org/10.4153/cjm-1999-006-6</a>","mla":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, Canadian Mathematical Society, 1999, pp. 96–116, doi:<a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>.","bibtex":"@article{Rösler_Voit_1999, title={Partial Characters and Signed Quotient Hypergroups}, volume={51}, DOI={<a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={96–116} }","short":"M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.","ieee":"M. Rösler and M. Voit, “Partial Characters and Signed Quotient Hypergroups,” <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, pp. 96–116, 1999, doi: <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>.","chicago":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” <i>Canadian Journal of Mathematics</i> 51, no. 1 (1999): 96–116. <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">https://doi.org/10.4153/cjm-1999-006-6</a>.","ama":"Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. <i>Canadian Journal of Mathematics</i>. 1999;51(1):96-116. doi:<a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>"},"intvolume":"        51","page":"96-116","publication_status":"published","publication_identifier":{"issn":["0008-414X","1496-4279"]},"issue":"1","title":"Partial Characters and Signed Quotient Hypergroups","doi":"10.4153/cjm-1999-006-6","publisher":"Canadian Mathematical Society","date_updated":"2023-01-26T17:51:42Z","date_created":"2023-01-26T08:27:14Z","author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","full_name":"Voit, Michael","last_name":"Voit"}],"volume":51,"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>If<jats:italic>G</jats:italic>is a closed subgroup of a commutative hypergroup<jats:italic>K</jats:italic>, then the coset space<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>carries a quotient hypergroup structure. In this paper, we study related convolution structures on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>coming fromdeformations of the quotient hypergroup structure by certain functions on<jats:italic>K</jats:italic>which we call partial characters with respect to<jats:italic>G</jats:italic>. They are usually not probability-preserving, but lead to so-called signed hypergroups on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>. A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair (<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>, 1),<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>)) are discussed.</jats:p>"}],"status":"public","type":"journal_article","publication":"Canadian Journal of Mathematics","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"extern":"1","_id":"40192","user_id":"37390","department":[{"_id":"555"}]},{"intvolume":"       127","page":"183–194","citation":{"apa":"Rösler, M., &#38; Voit, M. (1999). An uncertainty principle for Hankel transforms. <i>Proceedings of the American Mathematical Society</i>, <i>127</i>(1), 183–194.","short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 127 (1999) 183–194.","mla":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Hankel Transforms.” <i>Proceedings of the American Mathematical Society</i>, vol. 127, no. 1, American Mathematical Society (AMS), 1999, pp. 183–194.","bibtex":"@article{Rösler_Voit_1999, title={An uncertainty principle for Hankel transforms}, volume={127}, number={1}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={183–194} }","ama":"Rösler M, Voit M. An uncertainty principle for Hankel transforms. <i>Proceedings of the American Mathematical Society</i>. 1999;127(1):183–194.","ieee":"M. Rösler and M. 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Rösler, Communications in Mathematical Physics 192 (1998) 519–542.","bibtex":"@article{Rösler_1998, title={Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators}, volume={192}, DOI={<a href=\"https://doi.org/10.1007/s002200050307\">10.1007/s002200050307</a>}, number={3}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Rösler, Margit}, year={1998}, pages={519–542} }","apa":"Rösler, M. (1998). Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators. <i>Communications in Mathematical Physics</i>, <i>192</i>(3), 519–542. <a href=\"https://doi.org/10.1007/s002200050307\">https://doi.org/10.1007/s002200050307</a>","ama":"Rösler M. Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators. <i>Communications in Mathematical Physics</i>. 1998;192(3):519-542. doi:<a href=\"https://doi.org/10.1007/s002200050307\">10.1007/s002200050307</a>","chicago":"Rösler, Margit. “Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators.” <i>Communications in Mathematical Physics</i> 192, no. 3 (1998): 519–42. <a href=\"https://doi.org/10.1007/s002200050307\">https://doi.org/10.1007/s002200050307</a>.","ieee":"M. Rösler, “Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators,” <i>Communications in Mathematical Physics</i>, vol. 192, no. 3, pp. 519–542, 1998, doi: <a href=\"https://doi.org/10.1007/s002200050307\">10.1007/s002200050307</a>."},"_id":"54821","user_id":"82981","language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics","type":"journal_article","status":"public"},{"issue":"1-2","publication_status":"published","publication_identifier":{"issn":["0377-0427"]},"citation":{"chicago":"Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational and Applied Mathematics</i> 99, no. 1–2 (1998): 337–51. <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">https://doi.org/10.1016/s0377-0427(98)00168-x</a>.","ieee":"M. Rösler and M. Voit, “Biorthogonal polynomials associated with reflection groups and a formula of Macdonald,” <i>Journal of Computational and Applied Mathematics</i>, vol. 99, no. 1–2, pp. 337–351, 1998, doi: <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>.","ama":"Rösler M, Voit M. Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. <i>Journal of Computational and Applied Mathematics</i>. 1998;99(1-2):337-351. doi:<a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>","apa":"Rösler, M., &#38; Voit, M. (1998). Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. <i>Journal of Computational and Applied Mathematics</i>, <i>99</i>(1–2), 337–351. <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">https://doi.org/10.1016/s0377-0427(98)00168-x</a>","short":"M. Rösler, M. 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Rösler and M. Voit, “Markov Processes Related with Dunkl Operators,” <i>Advances in Applied Mathematics</i>, vol. 21, no. 4, pp. 575–643, 1998, doi: <a href=\"https://doi.org/10.1006/aama.1998.0609\">10.1006/aama.1998.0609</a>.","chicago":"Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl Operators.” <i>Advances in Applied Mathematics</i> 21, no. 4 (1998): 575–643. <a href=\"https://doi.org/10.1006/aama.1998.0609\">https://doi.org/10.1006/aama.1998.0609</a>.","ama":"Rösler M, Voit M. Markov Processes Related with Dunkl Operators. <i>Advances in Applied Mathematics</i>. 1998;21(4):575-643. doi:<a href=\"https://doi.org/10.1006/aama.1998.0609\">10.1006/aama.1998.0609</a>","short":"M. Rösler, M. 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