[{"date_updated":"2023-02-22T11:38:32Z","publisher":"Canadian Mathematical Society","volume":75,"date_created":"2022-12-22T09:16:48Z","author":[{"first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian","id":"30905"}],"title":"A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus","doi":"10.4153/s0008414x21000596","publication_identifier":{"issn":["0008-414X","1496-4279"]},"publication_status":"published","issue":"1","year":"2023","intvolume":"        75","page":"170-201","citation":{"short":"M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201.","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} }","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>.","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>","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>","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>.","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>."},"_id":"34814","project":[{"_id":"161","name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)"}],"department":[{"_id":"93"}],"user_id":"30905","keyword":["extension of differentiable maps"],"article_type":"original","language":[{"iso":"eng"}],"publication":"Canadian Journal of Mathematics","type":"journal_article","status":"public"},{"publication_identifier":{"issn":["0008-414X","1496-4279"]},"publication_status":"published","issue":"4","year":"2022","intvolume":"        74","page":"1005-1033","citation":{"ama":"Graczyk P, Luks T, Sawyer P. Potential kernels for radial Dunkl Laplacians. <i>Canadian Journal of Mathematics</i>. 2022;74(4):1005-1033. doi:<a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>","chicago":"Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial Dunkl Laplacians.” <i>Canadian Journal of Mathematics</i> 74, no. 4 (2022): 1005–33. <a href=\"https://doi.org/10.4153/s0008414x21000195\">https://doi.org/10.4153/s0008414x21000195</a>.","ieee":"P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,” <i>Canadian Journal of Mathematics</i>, vol. 74, no. 4, pp. 1005–1033, 2022, doi: <a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>.","mla":"Graczyk, P., et al. “Potential Kernels for Radial Dunkl Laplacians.” <i>Canadian Journal of Mathematics</i>, vol. 74, no. 4, Canadian Mathematical Society, 2022, pp. 1005–33, doi:<a href=\"https://doi.org/10.4153/s0008414x21000195\">10.4153/s0008414x21000195</a>.","short":"P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033.","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} }","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>"},"date_updated":"2023-01-26T17:18:50Z","publisher":"Canadian Mathematical Society","volume":74,"date_created":"2023-01-25T15:13:06Z","author":[{"full_name":"Graczyk, P.","last_name":"Graczyk","first_name":"P."},{"id":"58312","full_name":"Luks, Tomasz","last_name":"Luks","first_name":"Tomasz"},{"last_name":"Sawyer","full_name":"Sawyer, P.","first_name":"P."}],"title":"Potential kernels for radial Dunkl Laplacians","doi":"10.4153/s0008414x21000195","publication":"Canadian Journal of Mathematics","type":"journal_article","status":"public","_id":"40053","department":[{"_id":"555"}],"user_id":"58312","language":[{"iso":"eng"}]},{"keyword":["22E65","22A05","22E67","46A13","46M40","58D05"],"language":[{"iso":"eng"}],"publication":"Canadian Journal of Mathematics","title":"Completeness of infinite-dimensional Lie groups in their left uniformity","date_created":"2026-02-26T07:03:36Z","year":"2019","quality_controlled":"1","issue":"1","article_type":"original","_id":"64630","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","type":"journal_article","doi":"10.4153/CJM-2017-048-5","date_updated":"2026-02-27T08:33:56Z","volume":71,"author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"}],"page":"131–152","intvolume":"        71","citation":{"chicago":"Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” <i>Canadian Journal of Mathematics</i> 71, no. 1 (2019): 131–152. <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">https://doi.org/10.4153/CJM-2017-048-5</a>.","ieee":"H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left uniformity,” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, pp. 131–152, 2019, doi: <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>.","bibtex":"@article{Glöckner_2019, title={Completeness of infinite-dimensional Lie groups in their left uniformity}, volume={71}, DOI={<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>}, number={1}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge}, year={2019}, pages={131–152} }","short":"H. Glöckner, Canadian Journal of Mathematics 71 (2019) 131–152.","mla":"Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, 2019, pp. 131–152, doi:<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>.","apa":"Glöckner, H. (2019). Completeness of infinite-dimensional Lie groups in their left uniformity. <i>Canadian Journal of Mathematics</i>, <i>71</i>(1), 131–152. <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">https://doi.org/10.4153/CJM-2017-048-5</a>","ama":"Glöckner H. Completeness of infinite-dimensional Lie groups in their left uniformity. <i>Canadian Journal of Mathematics</i>. 2019;71(1):131–152. doi:<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>"},"publication_identifier":{"issn":["0008-414X"]}},{"title":"Continuity of convolution of test functions on Lie groups","doi":"10.4153/CJM-2012-035-6","date_updated":"2026-02-27T08:28:36Z","volume":66,"date_created":"2026-02-26T10:57:07Z","author":[{"first_name":"Lidia","full_name":"Birth, Lidia","last_name":"Birth"},{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"}],"year":"2014","page":"102–140","intvolume":"        66","citation":{"short":"L. Birth, H. Glöckner, Canadian Journal of Mathematics 66 (2014) 102–140.","mla":"Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions on Lie Groups.” <i>Canadian Journal of Mathematics</i>, vol. 66, no. 1, 2014, pp. 102–140, doi:<a href=\"https://doi.org/10.4153/CJM-2012-035-6\">10.4153/CJM-2012-035-6</a>.","bibtex":"@article{Birth_Glöckner_2014, title={Continuity of convolution of test functions on Lie groups}, volume={66}, DOI={<a href=\"https://doi.org/10.4153/CJM-2012-035-6\">10.4153/CJM-2012-035-6</a>}, number={1}, journal={Canadian Journal of Mathematics}, author={Birth, Lidia and Glöckner, Helge}, year={2014}, pages={102–140} }","ama":"Birth L, Glöckner H. Continuity of convolution of test functions on Lie groups. <i>Canadian Journal of Mathematics</i>. 2014;66(1):102–140. doi:<a href=\"https://doi.org/10.4153/CJM-2012-035-6\">10.4153/CJM-2012-035-6</a>","apa":"Birth, L., &#38; Glöckner, H. (2014). Continuity of convolution of test functions on Lie groups. <i>Canadian Journal of Mathematics</i>, <i>66</i>(1), 102–140. <a href=\"https://doi.org/10.4153/CJM-2012-035-6\">https://doi.org/10.4153/CJM-2012-035-6</a>","ieee":"L. Birth and H. Glöckner, “Continuity of convolution of test functions on Lie groups,” <i>Canadian Journal of Mathematics</i>, vol. 66, no. 1, pp. 102–140, 2014, doi: <a href=\"https://doi.org/10.4153/CJM-2012-035-6\">10.4153/CJM-2012-035-6</a>.","chicago":"Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions on Lie Groups.” <i>Canadian Journal of Mathematics</i> 66, no. 1 (2014): 102–140. <a href=\"https://doi.org/10.4153/CJM-2012-035-6\">https://doi.org/10.4153/CJM-2012-035-6</a>."},"quality_controlled":"1","publication_identifier":{"issn":["0008-414X"]},"issue":"1","keyword":["22E30","46F05","22D15","42A85","43A10","43A15","46A03","46A13","46E25"],"article_type":"original","language":[{"iso":"eng"}],"_id":"64667","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","publication":"Canadian Journal of Mathematics","type":"journal_article"},{"date_created":"2026-02-26T12:15:28Z","title":"Lie groups of measurable mappings.","quality_controlled":"1","issue":"5","year":"2003","keyword":["22E67","46E40","46T20"],"language":[{"iso":"eng"}],"publication":"Canadian Journal of Mathematics","date_updated":"2026-02-27T07:48:12Z","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"}],"volume":55,"doi":"10.4153/CJM-2003-039-9","publication_identifier":{"issn":["0008-414X"]},"citation":{"ieee":"H. Glöckner, “Lie groups of measurable mappings.,” <i>Canadian Journal of Mathematics</i>, vol. 55, no. 5, pp. 969–999, 2003, doi: <a href=\"https://doi.org/10.4153/CJM-2003-039-9\">10.4153/CJM-2003-039-9</a>.","chicago":"Glöckner, Helge. “Lie Groups of Measurable Mappings.” <i>Canadian Journal of Mathematics</i> 55, no. 5 (2003): 969–999. <a href=\"https://doi.org/10.4153/CJM-2003-039-9\">https://doi.org/10.4153/CJM-2003-039-9</a>.","short":"H. Glöckner, Canadian Journal of Mathematics 55 (2003) 969–999.","mla":"Glöckner, Helge. “Lie Groups of Measurable Mappings.” <i>Canadian Journal of Mathematics</i>, vol. 55, no. 5, 2003, pp. 969–999, doi:<a href=\"https://doi.org/10.4153/CJM-2003-039-9\">10.4153/CJM-2003-039-9</a>.","bibtex":"@article{Glöckner_2003, title={Lie groups of measurable mappings.}, volume={55}, DOI={<a href=\"https://doi.org/10.4153/CJM-2003-039-9\">10.4153/CJM-2003-039-9</a>}, number={5}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge}, year={2003}, pages={969–999} }","apa":"Glöckner, H. (2003). Lie groups of measurable mappings. <i>Canadian Journal of Mathematics</i>, <i>55</i>(5), 969–999. <a href=\"https://doi.org/10.4153/CJM-2003-039-9\">https://doi.org/10.4153/CJM-2003-039-9</a>","ama":"Glöckner H. Lie groups of measurable mappings. <i>Canadian Journal of Mathematics</i>. 2003;55(5):969–999. doi:<a href=\"https://doi.org/10.4153/CJM-2003-039-9\">10.4153/CJM-2003-039-9</a>"},"intvolume":"        55","page":"969–999","_id":"64711","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"article_type":"original","extern":"1","type":"journal_article","status":"public"},{"publication_status":"published","publication_identifier":{"issn":["0008-414X","1496-4279"]},"issue":"1","year":"1999","citation":{"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>","short":"M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.","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>.","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>"},"page":"96-116","intvolume":"        51","publisher":"Canadian Mathematical Society","date_updated":"2023-01-26T17:51:42Z","date_created":"2023-01-26T08:27:14Z","author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"last_name":"Voit","full_name":"Voit, Michael","first_name":"Michael"}],"volume":51,"title":"Partial Characters and Signed Quotient Hypergroups","doi":"10.4153/cjm-1999-006-6","type":"journal_article","publication":"Canadian Journal of Mathematics","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","_id":"40192","user_id":"37390","department":[{"_id":"555"}],"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"extern":"1"}]