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

DOI10.1093/imrn/rnu198zbMath1330.22021arXiv1404.3383OpenAlexW3101960516MaRDI QIDQ3196586

Dmitry Gourevitch, Avraham Aizenbud, Alexander Kemarsky

Publication date: 29 October 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3383

zbMATH Keywords

analytic manifoldreductive groupBessel functionwave front setsymmetric pairspherical pairvanishing of distributions

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

\(\mathfrak{z}\)-finite distributions on \(p\)-adic groups ⋮ Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\) ⋮ Vanishing of certain equivariant distributions on spherical spaces for quasi-split groups ⋮ Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs ⋮ Vanishing of certain equivariant distributions on spherical spaces

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