Distinguished cusp forms are theta series

DOI10.1215/S0012-7094-89-05905-XzbMath0689.10041OpenAlexW2044476949MaRDI QIDQ1264176

Jian-Shu Li

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05905-x

zbMATH Keywords

automorphic formsoscillator representationcuspidal automorphic representationL-seriesdual reductive pairspace of theta functionstheta liftings

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) 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 (4)

Singular unitary representations of classical groups ⋮ On the degree 5 \(L\)-function for \(Sp(2)\) ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Singular unitary representations of classical groups
• Distinguished representations and modular forms of half-integral weight
• Représentations supercuspidales du groupe metaplectique
• Asymptotic properties of unitary representations
• Shimura and Shintani correspondences
• Sur certains groupes d'opérateurs unitaires
• The CAP representations of GSp (4,).
• Langlands' Functoriality and the Weil Representation
• A new way to get Euler products.

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