8 citations · 30 across the 6 of their papers we have counts for
6 papers
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…
The SL(2)-type and Base Change
Omer Offen, Eitan Sayag
The SL(2)-type of any smooth, irreducible and unitarizable representation of GL(n) over a p-adic field was defined by Venkatesh. We provide a natural way to extend the definition t…
On Unitary Representations of GL2n Distinguished by the Symplectic Group
Omer Offen, Eitan Sayag
We provide a family of representations of GL(2n) over a p-adic field that admit a non-vanishing linear functional invariant under the symplectic group (i.e. representations that ar…
(GL(2n,C),SP(2n,C)) is a Gelfand Pair
Eitan Sayag
We prove that (GL_{2n}(C),Sp_{2n}(C)) is a Gelfand pair. More precisely, we show that for an irreducible smooth admissible Frechet representation (π,E) of GL_{2n}(C) the space of c…
Uniqueness and disjointness of Klyachko models
Omer Offen, Eitan Sayag
We show the uniqueness and disjointness of Klyachko models for GL(n,F) over a non-archimedean local field F. This completes, in particular, the study of Klyachko models on the unit…
Global Mixed Periods and local Klyachko models for the general linear group
Omer Offen, Eitan Sayag
We show that every irreducible representation in the discrete automorphic spectrum of GL(n) admits a non vanishing mixed (Whittaker-symplectic) period integral. The analog local pr…