Uniqueness of Fourier-Jacobi models: the Archimedean case

DOI10.1016/J.JFA.2013.08.034zbMath1286.22012arXiv1209.3075OpenAlexW2069958678MaRDI QIDQ2440960

Yifeng Liu, Bin Yong Sun

Publication date: 21 March 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3075

zbMATH Keywords

classical groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Relative trace formulae toward Bessel and Fourier-Jacobi periods on unitary groups ⋮ Ext-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\) ⋮ Uniqueness of certain Fourier-Jacobi models over finite fields ⋮ Estimate of the weights of the Jacquet module of the principal series representations of \(\mathrm{GL}_n(\mathbb{R})\) ⋮ PERIODS OF AUTOMORPHIC FORMS: THE TRILINEAR CASE ⋮ Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ Homological Finiteness of Representations of Almost Linear Nash Groups ⋮ Schwartz homologies of representations of almost linear Nash groups ⋮ Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On representations of real Jacobi groups
• Multiplicity one theorems
• Uniqueness of Bessel models: the archimedean case
• Multiplicity one theorems: the Archimedean case
• On the local theta-correspondence
• Nash manifolds
• Howe correspondences on a \(p\)-adic field
• Reducibility of generalized principal series representations
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Splitting metaplectic covers of dual reductive pairs
• Multiplicity one theorems for Fourier-Jacobi models
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• On Euler Products and the Classification of Automorphic Representations I
• Sur les représentations différentiables des groupes de Lie algébriques
• 𝐿 functions for the orthogonal group
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Une variante d'un r\'esultat de Aizenbud, Gourevitch, Rallis et Schiffmann
• On the uniqueness of Fourier Jacobi models for representations of 𝑈(𝑛,1)

This page was built for publication: Uniqueness of Fourier-Jacobi models: the Archimedean case