Delorme, Harinck, and Sakellaridis characterize the spectral transform of the spaces of Schwartz and Harish-Chandra Schwartz functions on the points of a homogeneous spherical variety over a p-adic field, and produce rings of multipliers, that is, G-endomorphisms, which generalize the (tempered and smooth) Bernstein centers. They make some assumptions on the variety, the main on being that the variety and its associated "Levi varieties" are "factorizable"-which is a condition that allows one to continuously vary the central character of a representation appearing the space of functions on the variety by multiplying by characters in the group. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)
