Spherical representations of the Jacobi group

DOI10.1007/BF02942566zbMath0958.11038OpenAlexW2006708614MaRDI QIDQ1969636

Ralf Schmidt

Publication date: 19 March 2000

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

Full work available at URL: https://doi.org/10.1007/bf02942566

zbMATH Keywords

\(L\)-functionJacobi groupHecke algebraspherical representationSchrödinger-Weil representation

Mathematics Subject Classification ID

Jacobi forms (11F50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2 ⋮ On old and new Jacobi forms ⋮ Local newforms with global applications in the Jacobi theory ⋮ On the Kohnen plus space for Hilbert modular forms of half-integral weight I

Cites Work

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• \(L\)-functions for Jacobi forms on \(\text{H} \times \mathbb{C}\)
• The theory of Jacobi forms
• Jacobi forms and discrete series representations of the Jacobi group
• Shimura and Shintani correspondences
• On some explicit formulas in the theory of Weil representation
• On automorphic \(L\)-functions for the Jacobi group of degree one and a relation with \(L\)-functions for Jacobi forms
• Sur certains groupes d'opérateurs unitaires
• Automorphic forms on GL (2)
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
• Elements of the representation theory of the Jacobi group

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