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World Scientific Publ.; 2005:249–264. 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} }","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>","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>.","short":"M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264."},"publication":"Infinite Dimensional Harmonic Analysis III","department":[{"_id":"555"}],"type":"conference","date_created":"2023-01-25T09:59:21Z","publication_status":"published","date_updated":"2023-01-26T17:46:04Z","author":[{"id":"37390","first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit"},{"first_name":"MICHAEL","last_name":"VOIT","full_name":"VOIT, MICHAEL"}],"status":"public","title":"Deformations of convolution semigroups on commutative hypergroups","year":"2005","user_id":"37390","doi":"10.1142/9789812701503_0016","_id":"39949","language":[{"iso":"eng"}],"publisher":"World Scientific Publ.","page":" 249–264"},{"status":"public","user_id":"93826","_id":"40320","publisher":"Oxford University Press","page":"3379–3389","citation":{"ama":"Rösler M, Voit M. Positivity of Dunkl’s intertwining operator via the trigonometric setting. <i>International Mathematics Research Notices</i>. 2004;(63):3379–3389. doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0405368\">10.48550/ARXIV.MATH/0405368</a>","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} }","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>.","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.","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>","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>."},"date_updated":"2023-01-26T17:28:09Z","publication_status":"published","author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"title":"Positivity of Dunkl's intertwining operator via the trigonometric setting","year":"2004","doi":"10.48550/ARXIV.MATH/0405368","language":[{"iso":"eng"}],"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","publication":"International Mathematics Research Notices","issue":"63","department":[{"_id":"555"}],"type":"journal_article","date_created":"2023-01-26T11:05:33Z"},{"extern":"1","publication":"Lecture Notes in Mathematics","citation":{"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} }","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>","mla":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>.","short":"M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.","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.","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>"},"type":"book_chapter","department":[{"_id":"555"}],"place":"Berlin, Heidelberg","date_created":"2023-01-25T10:09:14Z","date_updated":"2023-01-26T17:44:19Z","publication_status":"published","status":"public","year":"2003","title":"Dunkl Operators: Theory and Applications","publication_identifier":{"isbn":["9783540403753","9783540449454"],"issn":["0075-8434"]},"author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"}],"doi":"10.1007/3-540-44945-0_3","user_id":"93826","page":"93–135","publisher":"Springer Berlin Heidelberg","_id":"39956","language":[{"iso":"eng"}]},{"volume":355,"user_id":"93826","_id":"39957","publisher":"American Mathematical Society (AMS)","page":"2413–2438","status":"public","citation":{"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>.","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>","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>.","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>","short":"M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.","chicago":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.","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} }"},"doi":"10.48550/ARXIV.MATH/0210137","language":[{"iso":"eng"}],"intvolume":"       355","date_updated":"2023-01-26T17:44:10Z","publication_status":"published","author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"}],"year":"2003","title":"A positive radial product formula for the Dunkl kernel","department":[{"_id":"555"}],"type":"journal_article","date_created":"2023-01-25T10:17:51Z","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"}],"extern":"1","issue":"6","publication":"Transactions of the American Mathematical Society"},{"volume":119,"user_id":"93826","_id":"39959","publisher":"Elsevier BV","page":"110-126","status":"public","citation":{"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>.","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>","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} }","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>","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>.","short":"M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.","chicago":"Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.” <i>Journal of Approximation Theory</i> 119, no. 1 (2002): 110–26. <a href=\"https://doi.org/10.1006/jath.2002.3722\">https://doi.org/10.1006/jath.2002.3722</a>."},"doi":"10.1006/jath.2002.3722","language":[{"iso":"eng"}],"intvolume":"       119","publication_status":"published","date_updated":"2023-01-26T17:44:02Z","author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"full_name":"de Jeu, Marcel","first_name":"Marcel","last_name":"de Jeu"}],"publication_identifier":{"issn":["0021-9045"]},"year":"2002","title":"Asymptotic Analysis for the Dunkl Kernel","department":[{"_id":"555"}],"keyword":["Applied Mathematics","General Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","date_created":"2023-01-25T10:20:13Z","extern":"1","publication":"Journal of Approximation Theory","issue":"1"},{"extern":"1","citation":{"short":"M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 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.","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.","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.","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} }","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."},"publication":"Infinite dimensional harmonic analysis (Kyoto 1999)","department":[{"_id":"555"}],"type":"conference","date_created":"2023-01-30T11:04:33Z","date_updated":"2024-04-24T12:48:43Z","publication_status":"published","author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"}],"title":"One-parameter semigroups related to abstract quantum models of Calogero type","year":"2000","status":"public","user_id":"93826","_id":"40652","language":[{"iso":"eng"}],"publisher":"Gräbner-Verlag","page":"290-305"},{"citation":{"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>.","short":"M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.","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>","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>.","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>","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} }","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>."},"publication":"Special Functions (HongKong 1999)","extern":"1","date_created":"2023-01-26T07:59:08Z","department":[{"_id":"555"}],"type":"conference","author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"}],"year":"2000","title":"Short-time estimates for heat kernels associated with root systems","status":"public","publication_status":"published","date_updated":"2023-01-26T17:43:19Z","_id":"40172","language":[{"iso":"eng"}],"publisher":"World Scientific","page":"309-323","user_id":"37390","doi":"10.1142/9789812792303_0024"},{"status":"public","_id":"40184","publisher":"Cambridge University Press (CUP)","page":"353-360","volume":59,"user_id":"93826","citation":{"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} }","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>","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.","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>.","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>"},"publication_identifier":{"issn":["0004-9727","1755-1633"]},"author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"}],"year":"1999","title":"An uncertainty principle for the Dunkl transform","intvolume":"        59","date_updated":"2023-01-26T17:40:13Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1017/s0004972700033025","issue":"3","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"}],"extern":"1","date_created":"2023-01-26T08:19:30Z","department":[{"_id":"555"}],"type":"journal_article","keyword":["General Mathematics"]},{"citation":{"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>","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>.","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>.","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>.","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>","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} }"},"page":"445-463","_id":"40189","publisher":"Duke University Press","user_id":"93826","volume":98,"status":"public","date_created":"2023-01-26T08:25:43Z","type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"555"}],"issue":"3","publication":"Duke Mathematical Journal","extern":"1","language":[{"iso":"eng"}],"doi":"10.1215/s0012-7094-99-09813-7","year":"1999","title":"Positivity of Dunkl’s intertwining operator","publication_identifier":{"issn":["0012-7094"]},"author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"}],"publication_status":"published","date_updated":"2023-01-26T17:40:05Z","intvolume":"        98"},{"citation":{"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>.","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>","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} }","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>","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>.","short":"M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.","chicago":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” <i>Canadian Journal of Mathematics</i> 51, no. 1 (1999): 96–116. <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">https://doi.org/10.4153/cjm-1999-006-6</a>."},"status":"public","volume":51,"user_id":"37390","publisher":"Canadian Mathematical Society","_id":"40192","page":"96-116","extern":"1","abstract":[{"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>","lang":"eng"}],"issue":"1","publication":"Canadian Journal of Mathematics","department":[{"_id":"555"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2023-01-26T08:27:14Z","intvolume":"        51","publication_status":"published","date_updated":"2023-01-26T17:51:42Z","publication_identifier":{"issn":["0008-414X","1496-4279"]},"author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"year":"1999","title":"Partial Characters and Signed Quotient Hypergroups","doi":"10.4153/cjm-1999-006-6","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"title":"An uncertainty principle for Hankel transforms","year":"1999","publication_identifier":{"issn":["0002-9939","1088-6826"]},"author":[{"full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"publication_status":"published","date_updated":"2025-08-09T09:24:57Z","intvolume":"       127","date_created":"2023-01-30T11:20:49Z","type":"journal_article","department":[{"_id":"555"}],"issue":"1","publication":"Proceedings of the American Mathematical Society","extern":"1","page":"183–194","publisher":"American Mathematical Society (AMS)","_id":"40666","user_id":"37390","volume":127,"status":"public","citation":{"short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 127 (1999) 183–194.","chicago":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Hankel Transforms.” <i>Proceedings of the American Mathematical Society</i> 127, no. 1 (1999): 183–194.","ieee":"M. Rösler and M. Voit, “An uncertainty principle for Hankel transforms,” <i>Proceedings of the American Mathematical Society</i>, vol. 127, no. 1, pp. 183–194, 1999.","apa":"Rösler, M., &#38; Voit, M. (1999). An uncertainty principle for Hankel transforms. <i>Proceedings of the American Mathematical Society</i>, <i>127</i>(1), 183–194.","bibtex":"@article{Rösler_Voit_1999, title={An uncertainty principle for Hankel transforms}, volume={127}, number={1}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={183–194} }","ama":"Rösler M, Voit M. An uncertainty principle for Hankel transforms. <i>Proceedings of the American Mathematical Society</i>. 1999;127(1):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."}},{"citation":{"short":"M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.","chicago":"Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational and Applied Mathematics</i> 99, no. 1–2 (1998): 337–51. <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">https://doi.org/10.1016/s0377-0427(98)00168-x</a>.","ieee":"M. Rösler and M. Voit, “Biorthogonal polynomials associated with reflection groups and a formula of Macdonald,” <i>Journal of Computational and Applied Mathematics</i>, vol. 99, no. 1–2, pp. 337–351, 1998, doi: <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>.","apa":"Rösler, M., &#38; Voit, M. (1998). Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. <i>Journal of Computational and Applied Mathematics</i>, <i>99</i>(1–2), 337–351. <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">https://doi.org/10.1016/s0377-0427(98)00168-x</a>","bibtex":"@article{Rösler_Voit_1998, title={Biorthogonal polynomials associated with reflection groups and a formula of Macdonald}, volume={99}, DOI={<a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>}, number={1–2}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={1998}, pages={337–351} }","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>","mla":"Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational and Applied Mathematics</i>, vol. 99, no. 1–2, Elsevier BV, 1998, pp. 337–51, doi:<a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>."},"volume":99,"user_id":"93826","publisher":"Elsevier BV","_id":"40197","page":"337-351","status":"public","department":[{"_id":"555"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","date_created":"2023-01-26T08:31:16Z","extern":"1","publication":"Journal of Computational and Applied Mathematics","issue":"1-2","doi":"10.1016/s0377-0427(98)00168-x","language":[{"iso":"eng"}],"intvolume":"        99","date_updated":"2023-01-26T17:41:01Z","publication_status":"published","author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"publication_identifier":{"issn":["0377-0427"]},"title":"Biorthogonal polynomials associated with reflection groups and a formula of Macdonald","year":"1998"}]