102 citations · 502 across the 49 of their papers we have counts for
4 papers · 2 filters
(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…
Multiplicity one Theorems
Avraham Aizenbud, Dmitry Gourevitch, Steve Rallis +1
In the local, characteristic 0, non archimedean case, we consider distributions on GL(n+1) which are invariant under the adjoint action of GL(n). We prove that such distributions a…
(GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
Let F be an arbitrary local field. Consider the standard embedding of GL(n,F) into GL(n+1,F) and the two-sided action of GL(n,F) \times GL(n,F) on GL(n+1,F). In this paper we show…
A proof of the multiplicity one conjecture for GL(n) in GL(n+1)
Avraham Aizenbud, Dmitry Gourevitch
Let F be a non-archimedean local field of characteristic zero. We consider distributions on GL(n+1,F) which are invariant under the adjoint action of GL(n,F). We prove that any suc…