@article{34829,
  author       = {{Hanusch, Maximilian}},
  issn         = {{1435-5337}},
  journal      = {{Forum Mathematicum}},
  keywords     = {{regularity of Lie groups, differentiability of the evolution map}},
  number       = {{5}},
  pages        = {{1139--1177}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Differentiability of the evolution map and Mackey continuity}}},
  doi          = {{10.1515/forum-2018-0310}},
  volume       = {{31}},
  year         = {{2019}},
}

@article{64277,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>Let <jats:inline-formula id="j_forum-2018-0150_ineq_9999_w2aab3b7c12b1b6b1aab1c17b1b1Aa">
                     <jats:alternatives>
                        <m:math xmlns:m="http://www.w3.org/1998/Math/MathML">
                           <m:mrow>
                              <m:mi>G</m:mi>
                              <m:mo>/</m:mo>
                              <m:mi>H</m:mi>
                           </m:mrow>
                        </m:math>
                        <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_forum-2018-0150_eq_0103.png" />
                        <jats:tex-math>{G/H}</jats:tex-math>
                     </jats:alternatives>
                  </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">
                     <jats:alternatives>
                        <m:math xmlns:m="http://www.w3.org/1998/Math/MathML">
                           <m:mrow>
                              <m:mi>G</m:mi>
                              <m:mo>/</m:mo>
                              <m:mi>H</m:mi>
                           </m:mrow>
                        </m:math>
                        <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_forum-2018-0150_eq_0103.png" />
                        <jats:tex-math>{G/H}</jats:tex-math>
                     </jats:alternatives>
                  </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">
                     <jats:alternatives>
                        <m:math xmlns:m="http://www.w3.org/1998/Math/MathML">
                           <m:mrow>
                              <m:mi>G</m:mi>
                              <m:mo>/</m:mo>
                              <m:mi>H</m:mi>
                           </m:mrow>
                        </m:math>
                        <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_forum-2018-0150_eq_0103.png" />
                        <jats:tex-math>{G/H}</jats:tex-math>
                     </jats:alternatives>
                  </jats:inline-formula>.</jats:p>}},
  author       = {{van den Ban, Erik P. and Kuit, Job J. and Schlichtkrull, Henrik}},
  issn         = {{1435-5337}},
  journal      = {{Forum Mathematicum}},
  number       = {{2}},
  pages        = {{341--349}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{K-invariant cusp forms for reductive symmetric spaces of split rank one}}},
  doi          = {{10.1515/forum-2018-0150}},
  volume       = {{31}},
  year         = {{2018}},
}

@article{64698,
  author       = {{Glöckner, Helge}},
  issn         = {{0933-7741}},
  journal      = {{Forum Mathematicum}},
  keywords     = {{22E20, 22E65, 22A05, 22D05, 22E35}},
  number       = {{1}},
  pages        = {{45–84}},
  title        = {{{Every smooth p-adic Lie group admits a compatible analytic structure}}},
  doi          = {{10.1515/FORUM.2006.003}},
  volume       = {{18}},
  year         = {{2006}},
}

@article{64725,
  author       = {{Glöckner, Helge and Willis, George A.}},
  issn         = {{0933-7741}},
  journal      = {{Forum Mathematicum}},
  keywords     = {{22E20, 20F50, 20E08}},
  number       = {{3}},
  pages        = {{413–421}},
  title        = {{{Uniscalar p-adic Lie groups}}},
  doi          = {{10.1515/form.2001.015}},
  volume       = {{13}},
  year         = {{2001}},
}