Add to ORKGLet $G$ be a $p$-adic reductive group and $H$ a symmetric subgroup. I will present a criterion for $H$-integrability of matrix coefficients of representations of G. This is joint work with Max Gurevich and a generalization of Casselman's criteria for square integrability. Chong Zhang applied our results to show that for some symmetric subgroups all $H$-invariant linear forms of square integrable representations emerge as $H$-integrals of matrix coefficients. In particular, in a global setting, this provides information on the local components of factorizable period integrals of automorphic forms.Non UBCUnreviewedAuthor affiliation: TechnionFacult
We prove that for every Bushnell–Kutzko type that satisfies a certain rigidity assumption, the equiv...
Abstract. For which functions f does A ∈ G ⇒ f(A) ∈ G when G is the matrix automorphism group assoc...
1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic ...
AbstractWe obtain the necessary and sufficient conditions for the pth power integrability of a matri...
I will present new results about the representation theory of $p$-adic groups and demonstrate how th...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
I present a general theory of overconvergent p-adic automorphic forms for reductive algebraic groups...
Let G be a connected reductive algebraic group over a non-Archimedean local field K, and let g be it...
Reducibility of parabolically induced representations plays an important role in a num-ber of proble...
I will survey some results in the theory of modular representations of a reductive $p$-adic group, i...
Founding harmonic analysis on classical simple complex groups, I.M. Gelfand and M.A. Naimark in thei...
AbstractLet G be a semi-simple Lie group of split rank 1 and Γ a discrete subgroup of G of cofinite ...
ABSTRACT. In this note we present a review of some aspects on the problem of restricting square inte...
In adjoint reductive groups H of type D we show that for every semisimple element s, its centralizer...
The Thesis consists of two parts. In part I, a concentrated summary of the symmetric group, its ma...
We prove that for every Bushnell–Kutzko type that satisfies a certain rigidity assumption, the equiv...
Abstract. For which functions f does A ∈ G ⇒ f(A) ∈ G when G is the matrix automorphism group assoc...
1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic ...
AbstractWe obtain the necessary and sufficient conditions for the pth power integrability of a matri...
I will present new results about the representation theory of $p$-adic groups and demonstrate how th...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
I present a general theory of overconvergent p-adic automorphic forms for reductive algebraic groups...
Let G be a connected reductive algebraic group over a non-Archimedean local field K, and let g be it...
Reducibility of parabolically induced representations plays an important role in a num-ber of proble...
I will survey some results in the theory of modular representations of a reductive $p$-adic group, i...
Founding harmonic analysis on classical simple complex groups, I.M. Gelfand and M.A. Naimark in thei...
AbstractLet G be a semi-simple Lie group of split rank 1 and Γ a discrete subgroup of G of cofinite ...
ABSTRACT. In this note we present a review of some aspects on the problem of restricting square inte...
In adjoint reductive groups H of type D we show that for every semisimple element s, its centralizer...
The Thesis consists of two parts. In part I, a concentrated summary of the symmetric group, its ma...
We prove that for every Bushnell–Kutzko type that satisfies a certain rigidity assumption, the equiv...
Abstract. For which functions f does A ∈ G ⇒ f(A) ∈ G when G is the matrix automorphism group assoc...
1. There has recently been much interest, if not a tremendous amount of progress, in the arithmetic ...
