[{"status":"public","_id":"34814","publisher":"Canadian Mathematical Society","page":"170-201","volume":75,"user_id":"30905","citation":{"ieee":"M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus,” <i>Canadian Journal of Mathematics</i>, vol. 75, no. 1, pp. 170–201, 2023, doi: <a href=\"https://doi.org/10.4153/s0008414x21000596\">10.4153/s0008414x21000596</a>.","apa":"Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. <i>Canadian Journal of Mathematics</i>, <i>75</i>(1), 170–201. <a href=\"https://doi.org/10.4153/s0008414x21000596\">https://doi.org/10.4153/s0008414x21000596</a>","chicago":"Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” <i>Canadian Journal of Mathematics</i> 75, no. 1 (2023): 170–201. <a href=\"https://doi.org/10.4153/s0008414x21000596\">https://doi.org/10.4153/s0008414x21000596</a>.","short":"M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201.","mla":"Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” <i>Canadian Journal of Mathematics</i>, vol. 75, no. 1, Canadian Mathematical Society, 2023, pp. 170–201, doi:<a href=\"https://doi.org/10.4153/s0008414x21000596\">10.4153/s0008414x21000596</a>.","bibtex":"@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus}, volume={75}, DOI={<a href=\"https://doi.org/10.4153/s0008414x21000596\">10.4153/s0008414x21000596</a>}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }","ama":"Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. <i>Canadian Journal of Mathematics</i>. 2023;75(1):170-201. doi:<a href=\"https://doi.org/10.4153/s0008414x21000596\">10.4153/s0008414x21000596</a>"},"project":[{"_id":"161","name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)"}],"publication_identifier":{"issn":["0008-414X","1496-4279"]},"author":[{"id":"30905","full_name":"Hanusch, Maximilian","first_name":"Maximilian","last_name":"Hanusch"}],"title":"A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus","year":"2023","intvolume":"        75","article_type":"original","date_updated":"2023-02-22T11:38:32Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.4153/s0008414x21000596","publication":"Canadian Journal of Mathematics","issue":"1","date_created":"2022-12-22T09:16:48Z","department":[{"_id":"93"}],"keyword":["extension of differentiable maps"],"type":"journal_article"},{"status":"public","page":"1005-1033","publisher":"Canadian Mathematical Society","_id":"40053","user_id":"58312","volume":74,"citation":{"chicago":"Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial Dunkl Laplacians.” <i>Canadian Journal of Mathematics</i> 74, no. 4 (2022): 1005–33. <a href=\"https://doi.org/10.4153/s0008414x21000195\">https://doi.org/10.4153/s0008414x21000195</a>.","short":"P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033.","apa":"Graczyk, P., Luks, T., &#38; Sawyer, P. (2022). Potential kernels for radial Dunkl Laplacians. <i>Canadian Journal of Mathematics</i>, <i>74</i>(4), 1005–1033. <a href=\"https://doi.org/10.4153/s0008414x21000195\">https://doi.org/10.4153/s0008414x21000195</a>","ieee":"P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,” <i>Canadian Journal of Mathematics</i>, vol. 74, no. 4, pp. 1005–1033, 2022, doi: <a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>.","ama":"Graczyk P, Luks T, Sawyer P. Potential kernels for radial Dunkl Laplacians. <i>Canadian Journal of Mathematics</i>. 2022;74(4):1005-1033. doi:<a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>","bibtex":"@article{Graczyk_Luks_Sawyer_2022, title={Potential kernels for radial Dunkl Laplacians}, volume={74}, DOI={<a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>}, number={4}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Graczyk, P. and Luks, Tomasz and Sawyer, P.}, year={2022}, pages={1005–1033} }","mla":"Graczyk, P., et al. “Potential Kernels for Radial Dunkl Laplacians.” <i>Canadian Journal of Mathematics</i>, vol. 74, no. 4, Canadian Mathematical Society, 2022, pp. 1005–33, doi:<a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>."},"year":"2022","title":"Potential kernels for radial Dunkl Laplacians","publication_identifier":{"issn":["0008-414X","1496-4279"]},"author":[{"first_name":"P.","last_name":"Graczyk","full_name":"Graczyk, P."},{"id":"58312","full_name":"Luks, Tomasz","first_name":"Tomasz","last_name":"Luks"},{"full_name":"Sawyer, P.","first_name":"P.","last_name":"Sawyer"}],"publication_status":"published","date_updated":"2023-01-26T17:18:50Z","intvolume":"        74","language":[{"iso":"eng"}],"doi":"10.4153/s0008414x21000195","issue":"4","publication":"Canadian Journal of Mathematics","date_created":"2023-01-25T15:13:06Z","type":"journal_article","department":[{"_id":"555"}]},{"citation":{"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>.","short":"M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 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>.","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} }","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>."},"status":"public","page":"96-116","_id":"40192","publisher":"Canadian Mathematical Society","user_id":"37390","volume":51,"issue":"1","publication":"Canadian Journal of Mathematics","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"}],"extern":"1","date_created":"2023-01-26T08:27:14Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"title":"Partial Characters and Signed Quotient Hypergroups","year":"1999","author":[{"id":"37390","first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"publication_identifier":{"issn":["0008-414X","1496-4279"]},"date_updated":"2023-01-26T17:51:42Z","publication_status":"published","intvolume":"        51","language":[{"iso":"eng"}],"doi":"10.4153/cjm-1999-006-6"}]