SU\G(𝔸)/K·U

Howe duality and the trace formula

Zhengyu Mao, Stephen Rallis

Type: Article

Publication Date: 1999-12-01

Citations: 7

DOI: https://doi.org/10.2140/pjm.1999.191.329

Abstract

We state two families of trace formulas for the Howe duality.We prove the matching of orbital integrals for the trace formulas.The fundamental lemma (matching of orbital integrals for spherical functions) turns out to be the consequence of local Howe duality.We use the local Howe duality to prove the fundamental lemmas for another interesting family of trace formulas.

Locations

  • Pacific Journal of Mathematics - View - PDF

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+ A Bessel identity for the theta correspondence 2012 Ehud Moshe Baruch
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+ PDF Chat The induced Weil representation and the Shalika period 1999 Zhengyu Mao
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+ A guide to the relative trace formula 2005 Hervé Jacquet
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Works Cited by This (6)

Action Title Year Authors
+ PDF Chat Correspondances de Howe sur un corps p-adique 1987 Colette Mœglin
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+ PDF Chat Sur certains groupes d'opérateurs unitaires 1964 André Weil
+ PDF Chat Relation of orbital integrals on SO(5) and PGL(2) 1998 D. V. Zinoviev
+ Langlands' Functoriality and the Weil Representation 1982 Stephen Rallis
+ A trace formula for dual pairs 1997 Zhengyu Mao
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+ On the nonvanishing of someL-functions 1987 Hervé Jacquet