K-invariant cusp forms for reductive symmetric spaces of split rank one
Research output: Contribution to journal › Journal article › Research › peer-review
Final published version, 704 KB, PDF document
Let G/H be a reductive symmetric space of split rank one and let K be a maximal compact subgroup of G. In a previous article the first two authors introduced a notion of cusp forms for G/H. We show that the space of cusp forms coincides with the closure of the space of K-finite generalized matrix coefficients of discrete series representations if and only if there exist no K-spherical discrete series representations. Moreover, we prove that every K-spherical discrete series representation occurs with multiplicity one in the Plancherel decomposition of G/H.
|Number of pages||8|
|Publication status||Published - 2019|
Number of downloads are based on statistics from Google Scholar and www.ku.dk
No data available