Automorphic cusp forms constructed from the Weil representation

DOI10.1090/S0002-9904-1977-14301-2zbMath0397.10022MaRDI QIDQ4180436

Stephen Rallis, Gérard Schiffmann

Publication date: 1977

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

zbMATH Keywords

Fourier CoefficientsWeil RepresentationAutomorphic Cusp Forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) 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, The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups, On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)

Cites Work

• Modular forms associated to real quadratic fields
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• On modular forms of half integral weight
• Modular forms of half integral weight and the integral of certain theta-functions
• On construction of holomorphic cusp forms of half integral weight
• Discrete spectrum of the Weil representation