The continuous part of \(L^ 2(\Gamma ^ J\backslash G^ J)\) for the Jacobi group \(G^ J\)

DOI10.1007/BF02941059zbMath0722.11027MaRDI QIDQ2641333

Rolf Berndt

Publication date: 1990

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupPlancherel formularepresentationEisenstein seriesJacobi group

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

On local Whittaker models for the Jacobi group of degree one ⋮ On the characterization of skew-holomorphic Jacobi-forms ⋮ On Eisenstein series for the Hermitian modular groups and the Jacobi groups

Cites Work

• The theory of Jacobi forms
• Jacobi forms and discrete series representations of the Jacobi group
• Die Jacobigruppe und die Wärmeleitungsgleichung. (The Jacobi group and the heat equation)
• On automorphic forms for the Jacobi group
• Real analytic Eisenstein series for the Jacobi group
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