Elements of the representation theory of the Jacobi group

Publication date: 4 June 1998

Published in: Progress in Mathematics (Search for Journal in Brave)

Heisenberg group Jacobi group spherical representations differential operators representation theory spectral decomposition Schrödinger representation Hecke algebra metaplectic group Stone-von Neumann theorem Whittaker models spherical Whittaker functions irreducible admissible representations metaplectic representations local $L$-factors

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other groups and their modular and automorphic forms (several variables) (11F55) Jacobi forms (11F50) 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)

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