Alternative pseudodifferential analysis. With an application to modular forms

DOI10.1007/978-3-540-77911-7zbMath1162.22012OpenAlexW2477810928MaRDI QIDQ2477050

André Unterberger

Publication date: 12 March 2008

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-77911-7

zbMATH Keywords

modular formsmetaplectic representationoscillator representationFourier integral operatorspseudodifferential analysisanaplectic analysisCohen--Rankin brackets

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Forms of half-integer weight; nonholomorphic modular forms (11F37) PDEs in connection with quantum mechanics (35Q40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Holomorphic modular forms of integral weight (11F11) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30)

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