Goran Muic
Spectral Decomposition of Compactly Supported Poincaré Series and Existence of Cusp Forms
Preprint series: ESI preprints

MSC:

22E50 Representations of Lie and linear algebraic groups over local fields

11E99 None of the above but in this section

Abstract: Let $G$ be a semisimple algebraic group defined
over a number field $k$. We discuss the existence of various types
of cusp forms in $\calA_{cusp}(G(k)\backslash G(\bbA))$ using
Hecke operators and $p$--adic representation theory.


Keywords: automorphic forms, cusp forms, Poincar\' e series