[{"language":[{"iso":"eng"}],"doi":"10.1515/forum-2018-0310","author":[{"id":"30905","first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian"}],"publication_identifier":{"issn":["1435-5337","0933-7741"]},"title":"Differentiability of the evolution map and Mackey continuity","year":"2019","article_type":"original","intvolume":"        31","publication_status":"published","date_updated":"2023-01-09T18:07:13Z","date_created":"2022-12-22T09:38:08Z","department":[{"_id":"93"}],"type":"journal_article","keyword":["regularity of Lie groups","differentiability of the evolution map"],"issue":"5","publication":"Forum Mathematicum","publisher":"Walter de Gruyter GmbH","_id":"34829","page":"1139-1177","volume":31,"user_id":"30905","status":"public","citation":{"apa":"Hanusch, M. (2019). Differentiability of the evolution map and Mackey continuity. <i>Forum Mathematicum</i>, <i>31</i>(5), 1139–1177. <a href=\"https://doi.org/10.1515/forum-2018-0310\">https://doi.org/10.1515/forum-2018-0310</a>","ieee":"M. Hanusch, “Differentiability of the evolution map and Mackey continuity,” <i>Forum Mathematicum</i>, vol. 31, no. 5, pp. 1139–1177, 2019, doi: <a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>.","short":"M. Hanusch, Forum Mathematicum 31 (2019) 1139–1177.","chicago":"Hanusch, Maximilian. “Differentiability of the Evolution Map and Mackey Continuity.” <i>Forum Mathematicum</i> 31, no. 5 (2019): 1139–77. <a href=\"https://doi.org/10.1515/forum-2018-0310\">https://doi.org/10.1515/forum-2018-0310</a>.","mla":"Hanusch, Maximilian. “Differentiability of the Evolution Map and Mackey Continuity.” <i>Forum Mathematicum</i>, vol. 31, no. 5, Walter de Gruyter GmbH, 2019, pp. 1139–77, doi:<a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>.","ama":"Hanusch M. Differentiability of the evolution map and Mackey continuity. <i>Forum Mathematicum</i>. 2019;31(5):1139-1177. doi:<a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>","bibtex":"@article{Hanusch_2019, title={Differentiability of the evolution map and Mackey continuity}, volume={31}, DOI={<a href=\"https://doi.org/10.1515/forum-2018-0310\">10.1515/forum-2018-0310</a>}, number={5}, journal={Forum Mathematicum}, publisher={Walter de Gruyter GmbH}, author={Hanusch, Maximilian}, year={2019}, pages={1139–1177} }"},"project":[{"name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)","_id":"161"}]},{"date_created":"2026-02-19T13:28:57Z","type":"journal_article","publication":"Forum Mathematicum","issue":"2","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Let <jats:inline-formula id=\"j_forum-2018-0150_ineq_9999_w2aab3b7c12b1b6b1aab1c17b1b1Aa\">\r\n                     <jats:alternatives>\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mrow>\r\n                              <m:mi>G</m:mi>\r\n                              <m:mo>/</m:mo>\r\n                              <m:mi>H</m:mi>\r\n                           </m:mrow>\r\n                        </m:math>\r\n                        <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_forum-2018-0150_eq_0103.png\" />\r\n                        <jats:tex-math>{G/H}</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula> be a reductive symmetric space of split rank one and let <jats:italic>K</jats:italic> be a maximal compact subgroup of <jats:italic>G</jats:italic>. In a previous article the first two authors introduced a notion of cusp forms for <jats:inline-formula id=\"j_forum-2018-0150_ineq_9998_w2aab3b7c12b1b6b1aab1c17b1b7Aa\">\r\n                     <jats:alternatives>\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mrow>\r\n                              <m:mi>G</m:mi>\r\n                              <m:mo>/</m:mo>\r\n                              <m:mi>H</m:mi>\r\n                           </m:mrow>\r\n                        </m:math>\r\n                        <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_forum-2018-0150_eq_0103.png\" />\r\n                        <jats:tex-math>{G/H}</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>. We show that the space of cusp forms coincides with the closure of the space of <jats:italic>K</jats:italic>-finite generalized matrix coefficients of discrete series representations if and only if there exist no <jats:italic>K</jats:italic>-spherical discrete series representations. Moreover, we prove that every <jats:italic>K</jats:italic>-spherical discrete series representation occurs with multiplicity one in the Plancherel decomposition of <jats:inline-formula id=\"j_forum-2018-0150_ineq_9997_w2aab3b7c12b1b6b1aab1c17b1c15Aa\">\r\n                     <jats:alternatives>\r\n                        <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\r\n                           <m:mrow>\r\n                              <m:mi>G</m:mi>\r\n                              <m:mo>/</m:mo>\r\n                              <m:mi>H</m:mi>\r\n                           </m:mrow>\r\n                        </m:math>\r\n                        <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_forum-2018-0150_eq_0103.png\" />\r\n                        <jats:tex-math>{G/H}</jats:tex-math>\r\n                     </jats:alternatives>\r\n                  </jats:inline-formula>.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1515/forum-2018-0150","title":"K-invariant cusp forms for reductive symmetric spaces of split rank one","year":"2018","publication_identifier":{"issn":["1435-5337","0933-7741"]},"author":[{"full_name":"van den Ban, Erik P.","last_name":"van den Ban","first_name":"Erik P."},{"last_name":"Kuit","first_name":"Job J.","full_name":"Kuit, Job J."},{"last_name":"Schlichtkrull","first_name":"Henrik","full_name":"Schlichtkrull, Henrik"}],"date_updated":"2026-02-19T13:29:20Z","publication_status":"published","intvolume":"        31","citation":{"bibtex":"@article{van den Ban_Kuit_Schlichtkrull_2018, title={K-invariant cusp forms for reductive symmetric spaces of split rank one}, volume={31}, DOI={<a href=\"https://doi.org/10.1515/forum-2018-0150\">10.1515/forum-2018-0150</a>}, number={2}, journal={Forum Mathematicum}, publisher={Walter de Gruyter GmbH}, author={van den Ban, Erik P. and Kuit, Job J. and Schlichtkrull, Henrik}, year={2018}, pages={341–349} }","short":"E.P. van den Ban, J.J. Kuit, H. Schlichtkrull, Forum Mathematicum 31 (2018) 341–349.","ama":"van den Ban EP, Kuit JJ, Schlichtkrull H. K-invariant cusp forms for reductive symmetric spaces of split rank one. <i>Forum Mathematicum</i>. 2018;31(2):341-349. doi:<a href=\"https://doi.org/10.1515/forum-2018-0150\">10.1515/forum-2018-0150</a>","chicago":"Ban, Erik P. van den, Job J. Kuit, and Henrik Schlichtkrull. “K-Invariant Cusp Forms for Reductive Symmetric Spaces of Split Rank One.” <i>Forum Mathematicum</i> 31, no. 2 (2018): 341–49. <a href=\"https://doi.org/10.1515/forum-2018-0150\">https://doi.org/10.1515/forum-2018-0150</a>.","ieee":"E. P. van den Ban, J. J. Kuit, and H. Schlichtkrull, “K-invariant cusp forms for reductive symmetric spaces of split rank one,” <i>Forum Mathematicum</i>, vol. 31, no. 2, pp. 341–349, 2018, doi: <a href=\"https://doi.org/10.1515/forum-2018-0150\">10.1515/forum-2018-0150</a>.","mla":"van den Ban, Erik P., et al. “K-Invariant Cusp Forms for Reductive Symmetric Spaces of Split Rank One.” <i>Forum Mathematicum</i>, vol. 31, no. 2, Walter de Gruyter GmbH, 2018, pp. 341–49, doi:<a href=\"https://doi.org/10.1515/forum-2018-0150\">10.1515/forum-2018-0150</a>.","apa":"van den Ban, E. P., Kuit, J. J., &#38; Schlichtkrull, H. (2018). K-invariant cusp forms for reductive symmetric spaces of split rank one. <i>Forum Mathematicum</i>, <i>31</i>(2), 341–349. <a href=\"https://doi.org/10.1515/forum-2018-0150\">https://doi.org/10.1515/forum-2018-0150</a>"},"page":"341-349","_id":"64277","publisher":"Walter de Gruyter GmbH","user_id":"52730","volume":31,"status":"public"},{"publication":"Forum Mathematicum","issue":"1","extern":"1","date_created":"2026-02-26T11:58:28Z","keyword":["22E20","22E65","22A05","22D05","22E35"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"year":"2006","title":"Every smooth p-adic Lie group admits a compatible analytic structure","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner","id":"178"}],"publication_identifier":{"issn":["0933-7741"]},"date_updated":"2026-02-27T07:57:55Z","intvolume":"        18","article_type":"original","language":[{"iso":"eng"}],"doi":"10.1515/FORUM.2006.003","citation":{"ieee":"H. Glöckner, “Every smooth p-adic Lie group admits a compatible analytic structure,” <i>Forum Mathematicum</i>, vol. 18, no. 1, pp. 45–84, 2006, doi: <a href=\"https://doi.org/10.1515/FORUM.2006.003\">10.1515/FORUM.2006.003</a>.","apa":"Glöckner, H. (2006). Every smooth p-adic Lie group admits a compatible analytic structure. <i>Forum Mathematicum</i>, <i>18</i>(1), 45–84. <a href=\"https://doi.org/10.1515/FORUM.2006.003\">https://doi.org/10.1515/FORUM.2006.003</a>","mla":"Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic Structure.” <i>Forum Mathematicum</i>, vol. 18, no. 1, 2006, pp. 45–84, doi:<a href=\"https://doi.org/10.1515/FORUM.2006.003\">10.1515/FORUM.2006.003</a>.","bibtex":"@article{Glöckner_2006, title={Every smooth p-adic Lie group admits a compatible analytic structure}, volume={18}, DOI={<a href=\"https://doi.org/10.1515/FORUM.2006.003\">10.1515/FORUM.2006.003</a>}, number={1}, journal={Forum Mathematicum}, author={Glöckner, Helge}, year={2006}, pages={45–84} }","ama":"Glöckner H. Every smooth p-adic Lie group admits a compatible analytic structure. <i>Forum Mathematicum</i>. 2006;18(1):45–84. doi:<a href=\"https://doi.org/10.1515/FORUM.2006.003\">10.1515/FORUM.2006.003</a>","short":"H. Glöckner, Forum Mathematicum 18 (2006) 45–84.","chicago":"Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic Structure.” <i>Forum Mathematicum</i> 18, no. 1 (2006): 45–84. <a href=\"https://doi.org/10.1515/FORUM.2006.003\">https://doi.org/10.1515/FORUM.2006.003</a>."},"quality_controlled":"1","status":"public","page":"45–84","_id":"64698","user_id":"178","volume":18},{"language":[{"iso":"eng"}],"doi":"10.1515/form.2001.015","author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"},{"full_name":"Willis, George A.","first_name":"George A.","last_name":"Willis"}],"publication_identifier":{"issn":["0933-7741"]},"year":"2001","title":"Uniscalar p-adic Lie groups","intvolume":"        13","article_type":"original","date_updated":"2026-02-27T07:40:57Z","date_created":"2026-02-26T13:10:20Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"keyword":["22E20","20F50","20E08"],"type":"journal_article","issue":"3","publication":"Forum Mathematicum","extern":"1","_id":"64725","page":"413–421","volume":13,"user_id":"178","status":"public","citation":{"short":"H. Glöckner, G.A. Willis, Forum Mathematicum 13 (2001) 413–421.","chicago":"Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.” <i>Forum Mathematicum</i> 13, no. 3 (2001): 413–421. <a href=\"https://doi.org/10.1515/form.2001.015\">https://doi.org/10.1515/form.2001.015</a>.","apa":"Glöckner, H., &#38; Willis, G. A. (2001). Uniscalar p-adic Lie groups. <i>Forum Mathematicum</i>, <i>13</i>(3), 413–421. <a href=\"https://doi.org/10.1515/form.2001.015\">https://doi.org/10.1515/form.2001.015</a>","ieee":"H. Glöckner and G. A. Willis, “Uniscalar p-adic Lie groups,” <i>Forum Mathematicum</i>, vol. 13, no. 3, pp. 413–421, 2001, doi: <a href=\"https://doi.org/10.1515/form.2001.015\">10.1515/form.2001.015</a>.","ama":"Glöckner H, Willis GA. Uniscalar p-adic Lie groups. <i>Forum Mathematicum</i>. 2001;13(3):413–421. doi:<a href=\"https://doi.org/10.1515/form.2001.015\">10.1515/form.2001.015</a>","bibtex":"@article{Glöckner_Willis_2001, title={Uniscalar p-adic Lie groups}, volume={13}, DOI={<a href=\"https://doi.org/10.1515/form.2001.015\">10.1515/form.2001.015</a>}, number={3}, journal={Forum Mathematicum}, author={Glöckner, Helge and Willis, George A.}, year={2001}, pages={413–421} }","mla":"Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.” <i>Forum Mathematicum</i>, vol. 13, no. 3, 2001, pp. 413–421, doi:<a href=\"https://doi.org/10.1515/form.2001.015\">10.1515/form.2001.015</a>."},"quality_controlled":"1"}]