Fourier-Jacobi models for real unitary groups

DOI10.1016/j.jfa.2024.110645MaRDI QIDQ6633927

Hang Xue

Publication date: 6 November 2024

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

zbMATH Keywords

Gan-Gross-Prasad conjecturereal unitary groupsFourier-Jacobi model

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• On representations of real Jacobi groups
• Multiplicity one theorems: the Archimedean case
• Howe correspondence for real unitary groups
• Splitting metaplectic covers of dual reductive pairs
• Smooth Fréchet globalizations of Harish-Chandra modules
• Schwartz homologies of representations of almost linear Nash groups
• Almost linear Nash groups
• Uniqueness of Fourier-Jacobi models: the Archimedean case
• The Gross-Prasad conjecture and local theta correspondence
• Schwartz Functions on Nash Manifolds
• Bounding matrix coefficients for smooth vectors of tempered representations
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• AST418 - A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case
• Bessel models for real unitary groups: the tempered case

Related Items (1)

Restriction problems for real unitary groups

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