Vanishing of Certain Equivariant Distributions on p-Adic Spherical Spaces, and Nonvanishing of Spherical Bessel Functions

Avraham Aizenbud; Dmitry Gourevitch; Alexander Kemarsky

doi:10.1093/imrn/rnu198

Vanishing of Certain Equivariant Distributions on p-Adic Spherical Spaces, and Nonvanishing of Spherical Bessel Functions

Avraham Aizenbud, Dmitry Gourevitch, Alexander Kemarsky

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We prove vanishing of distribution on p-adic spherical spaces that are equivariant with respect to a generic character of the nilradical of a Borel subgroup and satisfy a certain condition on the wave-front set. We deduce from this nonvanishing of spherical Bessel functions for Galois symmetric pairs.

Original language	English
Pages (from-to)	8471-8483
Number of pages	13
Journal	International Mathematics Research Notices
Volume	2015
Issue number	18
DOIs	https://doi.org/10.1093/imrn/rnu198
State	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnu198

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title = "Vanishing of Certain Equivariant Distributions on p-Adic Spherical Spaces, and Nonvanishing of Spherical Bessel Functions",

abstract = "We prove vanishing of distribution on p-adic spherical spaces that are equivariant with respect to a generic character of the nilradical of a Borel subgroup and satisfy a certain condition on the wave-front set. We deduce from this nonvanishing of spherical Bessel functions for Galois symmetric pairs.",

author = "Avraham Aizenbud and Dmitry Gourevitch and Alexander Kemarsky",

note = "Publisher Copyright: {\textcopyright} 2014 The Author(s) 2014.",

year = "2015",

doi = "10.1093/imrn/rnu198",

language = "الإنجليزيّة",

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AU - Aizenbud, Avraham

AU - Gourevitch, Dmitry

AU - Kemarsky, Alexander

PY - 2015

Y1 - 2015

N2 - We prove vanishing of distribution on p-adic spherical spaces that are equivariant with respect to a generic character of the nilradical of a Borel subgroup and satisfy a certain condition on the wave-front set. We deduce from this nonvanishing of spherical Bessel functions for Galois symmetric pairs.

AB - We prove vanishing of distribution on p-adic spherical spaces that are equivariant with respect to a generic character of the nilradical of a Borel subgroup and satisfy a certain condition on the wave-front set. We deduce from this nonvanishing of spherical Bessel functions for Galois symmetric pairs.

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U2 - 10.1093/imrn/rnu198

DO - 10.1093/imrn/rnu198

M3 - مقالة

SN - 1073-7928

VL - 2015

SP - 8471

EP - 8483

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 18

ER -

Vanishing of Certain Equivariant Distributions on p-Adic Spherical Spaces, and Nonvanishing of Spherical Bessel Functions

Abstract

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