Generalized pseudo-coefficients of discrete series of $p$-adic groups
Representation Theory
2018-06-29 v1 Number Theory
Abstract
Let be a connected reductive group over a -adic field of characteristic 0 and let be an -Levi subgroup of Given a discrete series representation of we prove that there exists a locally constant and compactly supported function on which generalizes a pseudo-coefficient of This function satisfies similar properties to the pseudo-coefficient, and its lifting to is applied to the Plancherel formula.
Keywords
Cite
@article{arxiv.1806.11022,
title = {Generalized pseudo-coefficients of discrete series of $p$-adic groups},
author = {Kwangho Choiy},
journal= {arXiv preprint arXiv:1806.11022},
year = {2018}
}