Density of spherical characters
By Eitan Sayag
Appears in collection : 2025 - T1 - WS3 - Analysis on homogeneous spaces and operator algebras
Spherical characters are distributions on homogeneous spaces that play an important role in the relative trace formula. Natural density problems regarding these distributions lead to some open problems in harmonic analysis. In a joint work with A. Aizenbud (Weizmann) and J. Bernstein (Tel-Aviv), we introduce some algebraic methods to tackle some of these density problems in the $p$-adic case.