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arXiv · 1404.3383

Vanishing of certain equivariant distributions on p-adic spherical spaces, and non-vanishing of spherical Bessel functions

Avraham Aizenbud·Dmitry Gourevitch·Alexander Kemarsky
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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 non-vanishing of spherical Bessel functions for Galois symmetric pairs.

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Avraham Aizenbud, Dmitry Gourevitch, Alexander Kemarsky. 2014-10-29. Vanishing of certain equivariant distributions on p-adic spherical spaces, and non-vanishing of spherical Bessel functions. https://doi.org/10.1093/imrn%2Frnu198

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