Fourier-Jacobi type spherical functions for principal series representations of \(\text{Sp}(2,\mathbb R)\).

DOI10.1016/S0019-3577(04)90004-3zbMath1161.11345MaRDI QIDQ1890411

Miki Hirano

Publication date: 3 January 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

Whittaker functions for \(P_J\)-principal series representations of \(\text{Sp}(3,\mathbb R)\)

Cites Work

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• The theory of Jacobi forms
• Finite multiplicity theorems for induced representations of semisimple Lie groups. II: Applications to generalized Gelfand-Graev representations
• Andrianov's \(L\)-functions associated to Siegel wave forms of degree two
• FOURIER–JACOBI TYPE SPHERICAL FUNCTIONS FOR $P_J$ -PRINCIPAL SERIES REPRESENTATIONS OF ${\rm Sp}(2, {\bf R})$
• A Uniqueness Theorem of Fourier Jacobi Models for Representations of Sp(4)
• Elements of the representation theory of the Jacobi group

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