102 citations · 126 across the 4 of their papers we have counts for
4 papers
A partial analog of integrability theorem for distributions on p-adic spaces and applications
Avraham Aizenbud
Let X be a smooth real algebraic variety. Let be a distribution on it. One can define the singular support of to be the singular support of the -module generated by $ξ…
Invariant distributions on non-distinguished nilpotent orbits with application to the Gelfand property of (GL(2n,R),Sp(2n,R))
Avraham Aizenbud, Eitan Sayag
We study invariant distributions on the tangent space to a symmetric space. We prove that an invariant distribution with the property that both its support and the support of its F…
An archimedean analog of Jacquet - Rallis theorem
Avraham Aizenbud, Dmitry Gourevitch
In this paper we prove that the symmetric pair is a Gelfand pair for any local field F of characteristic 0. For non-archimedean F it has been…
Schwartz functions on Nash manifolds
Avraham Aizenbud, Dmitry Gourevitch
In this paper we extend the notions of Schwartz functions, tempered functions and generalized Schwartz functions to Nash (i.e. smooth semi-algebraic) manifolds. We reprove for this…