102 citations · 109 across the 2 of their papers we have counts for
7 papers · 1 filter
Multiplicity One Theorems and Invariant Distributions
Dmitry Gourevitch
This is my PhD thesis submitted to the Weizmann Institute of Science. It is based on the papers [AG08c], [AG08d], [AGRS07], [AGS08], [AGS09], [Aiz08] and [SZ08]. This thesis includ…
Uniqueness of Shalika functionals (the Archimedean case)
Avraham Aizenbud, Dmitry Gourevitch, Herve Jacquet
Let F be either R or C. Let be an irreducible admissible smooth \Fre representation of GL(2n,F). A Shalika functional $ϕ:V \to \C$ is a continuous linear functional such th…
Multiplicity one theorem for (GL(n+1,R),GL(n,R))
Avraham Aizenbud, Dmitry Gourevitch
Let F be either R or C. Consider the standard embedding GL(n,F)<GL(n+1,F) and the action of GL(n,F) on GL(n+1,F) by conjugation. In this paper we show that any GL(n,F)-invariant di…
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…
Generalized Harish-Chandra descent and applications to Gelfand pairs
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
In the first part of the paper we generalize a descent technique due to Harish-Chandra to the case of a reductive group acting on a smooth affine variety both defined over arbitrar…
(O(V+F), O(V)) is a Gelfand pair for any quadratic space V over a local field F
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
Let V be a quadratic space with a form q over an arbitrary local field F of characteristic different from 2. Let with the form Q extending q with Q(e)=1. Consider t…