102 citations · 502 across the 49 of their papers we have counts for
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Generalized Harish-Chandra descent, Gelfand pairs and an Archimedean analog of Jacquet-Rallis' Theorem
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 an arbit…
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…
Some regular symmetric pairs
Avraham Aizenbud, Dmitry Gourevitch
In [AG2] we explored the question what symmetric pairs are Gelfand pairs. We introduced the notion of regular symmetric pair and conjectured that all symmetric pairs are regular. T…
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…