Discrete spectrum of the Weil representation

DOI10.1090/S0002-9904-1977-14299-7zbMath0397.22009MaRDI QIDQ4180534

Stephen Rallis, Gérard Schiffmann

Publication date: 1977

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

zbMATH Keywords

Weil RepresentationDiscrete Spectrum

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

Unnamed Item ⋮ Automorphic Green functions associated with the secondary spherical functions ⋮ Poincaré series for \(SO(n,1)\) ⋮ Theta lifting of unitary lowest weight modules and their associated cycles ⋮ On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\) ⋮ Tensor product of degenerate principal series and local theta correspondence ⋮ Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations ⋮ Automorphic cusp forms constructed from the Weil representation ⋮ Theta lifting for unitary representations with nonzero cohomology ⋮ Correspondance de Howe pour les paires reductives duales: Quelques calculs dans le cas archimédien. (Howe correspondence for dual reductive pairs: Some calculations in the Archimedean case)

Cites Work

• Weil's representation and the spectrum of the metaplectic group
• Sur certains groupes d'opérateurs unitaires
• Harmonic analysis on hyperboloids
• Unnamed Item