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arXiv · 1806.11022

Generalized pseudo-coefficients of discrete series of $p$-adic groups

Kwangho Choiy
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Abstract

Let $G$ be a connected reductive group over a $p$-adic field $F$ of characteristic 0 and let $M$ be an $F$-Levi subgroup of $G.$ Given a discrete series representation $\sigma$ of $M(F),$ we prove that there exists a locally constant and compactly supported function on $M(F),$ which generalizes a pseudo-coefficient of $\sigma.$ This function satisfies similar properties to the pseudo-coefficient, and its lifting to $G(F)$ is applied to the Plancherel formula.

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BibTeXRIS

Kwangho Choiy. 2018-06-28. Generalized pseudo-coefficients of discrete series of $p$-adic groups. https://doi.org/10.4310/ajm.2016.v20.n5.a7

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