Algebras of symbols and modular forms

DOI10.1007/BF02790207zbMath0857.43015OpenAlexW2051534854MaRDI QIDQ1922216

André Unterberger, Julianne Unterberger

Publication date: 3 March 1997

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790207

zbMATH Keywords

Hilbert spacerepresentationmodular formsholomorphic functionHilbert-Schmidt operatorsymbolic calculus of operators

Mathematics Subject Classification ID

Abstract harmonic analysis (43A99) Holomorphic modular forms of integral weight (11F11) Riemann surfaces (30F99)

Related Items (19)

Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs ⋮ A generating function for Rankin-Cohen brackets ⋮ Rankin-Cohen brackets, transvectants and covariant differential operators ⋮ The Lie theory of the Rankin-Cohen brackets and allied bi-differential operators ⋮ Covariant bi-differential operators on matrix space ⋮ Projective pseudodifferential analysis and harmonic analysis ⋮ Rankin-Cohen brackets and representations of conformal Lie groups ⋮ Invariants of formal pseudodifferential operator algebras and algebraic modular forms ⋮ 𝐻*-algebras and quantization of para-Hermitian spaces ⋮ Identities for Rankin-Cohen brackets, Racah coefficients and associativity ⋮ Singular invariant trilinear forms and covariant (bi-)differential operators under the conformal group ⋮ Jacobi forms and generalized RC-algebras. ⋮ Mathematical analysis as required by a tachyonic observer ⋮ Rankin-Cohen brackets and invariant theory ⋮ Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets ⋮ Rankin-Cohen brackets and associativity ⋮ Multilinear operators on Siegel modular forms of genus 1 and 2 ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Rankin-Cohen brackets on supermodular forms

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