Uniqueness of Ginzburg-Rallis models: The Archimedean case

DOI10.1090/S0002-9947-2010-05285-7zbMath1217.22011arXiv0903.1411OpenAlexW2963714714MaRDI QIDQ3003621

Chen-Bo Zhu, Di-Hua Jiang, Bin Yong Sun

Publication date: 27 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1411

zbMATH Keywords

descent methodGinzburg-Rallis modelstempered generalized functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (14)

The local Ginzburg-Rallis model over the complex field ⋮ \(\mathfrak{z}\)-finite distributions on \(p\)-adic groups ⋮ A general form of Gelfand-Kazhdan criterion ⋮ The local Ginzburg-Rallis model for generic representations ⋮ Multiplicity one theorem for the Ginzburg–Rallis model: The tempered case ⋮ A product of tensor product \(L\)-functions of quasi-split classical groups of Hermitian type ⋮ Disjoint pairs for \(\text{GL}_n (\mathbb R)\) and \(\text{GL}_n (\mathbb C)\) ⋮ The action of a mirabolic subgroup on a symmetric variety ⋮ Uniqueness of Bessel models: the archimedean case ⋮ Uniqueness of twisted linear periods and twisted Shalika periods ⋮ The generalized linear periods ⋮ Multiplicity one theorems: the Archimedean case ⋮ A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side. ⋮ Vanishing of certain equivariant distributions on spherical spaces

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