Die Jacobigruppe und die Wärmeleitungsgleichung. (The Jacobi group and the heat equation)

DOI10.1007/BF01162712zbMath0588.10025MaRDI QIDQ1073070

Rolf Berndt

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173680

zbMATH Keywords

heat equationJacobi formsmodular formsJacobi theta-functionrepresentation-theoretic methods

Mathematics Subject Classification ID

Heat equation (35K05) Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Holomorphic modular forms of integral weight (11F11)

Related Items (4)

On local Whittaker models for the Jacobi group of degree one ⋮ The continuous part of \(L^ 2(\Gamma ^ J\backslash G^ J)\) for the Jacobi group \(G^ J\) ⋮ On the characterization of skew-holomorphic Jacobi-forms ⋮ Jacobi forms and discrete series representations of the Jacobi group

Cites Work

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• The theory of Jacobi forms
• Weil's representation and the spectrum of the metaplectic group

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