On Siegel modular forms of half-integral weights and Jacobi forms

DOI10.1090/S0002-9947-99-02168-6zbMath0930.11030OpenAlexW1603633868MaRDI QIDQ4219179

Koichi Takase

Publication date: 18 November 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02168-6

zbMATH Keywords

symplectic groupunitary representationsJacobi groupHecke operatorscovering grouplocally compact unimodular groupcorrespondencezonal spherical functionsaction of the Hecke algebrasspace of Jacobi cusp formsspace of Siegel modular forms of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (5)

ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS ⋮ A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS ⋮ CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK ⋮ Coherent states and geometry on the Siegel–Jacobi disk ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball

Cites Work

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