Quantization and non-holomorphic modular forms

DOI10.1007/BFb0104036zbMath0970.11014OpenAlexW587996454MaRDI QIDQ1578780

André Unterberger

Publication date: 10 September 2000

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

Full work available at URL: https://doi.org/10.1007/bfb0104036

zbMATH Keywords

Radon transformEisenstein seriesPoisson bracketsMaass cusp formsRankin-Cohen bracketsWeyl symbolsnon-holomorphic modular formsconnections of bilinear products with quantization theory

Mathematics Subject Classification ID

Radon transform (44A12) Research exposition (monographs, survey articles) pertaining to number theory (11-02) General quantum mechanics and problems of quantization (81S99) Gauss and Kloosterman sums; generalizations (11L05) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (7)

\({\mathfrak p}\)-adic pseudodifferential calculus ⋮ Projective pseudodifferential analysis and harmonic analysis ⋮ Composition formulas in the Weyl calculus ⋮ A spectral analysis of automorphic distributions and Poisson summation formulas. ⋮ Converse theorems for automorphic distributions and Maass forms of level \(N\) ⋮ Automorphic pairs of distributions on \(\mathbb{R}\) and Maass forms of real weight ⋮ Covariant quantization: spectral analysis versus deformation theory

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