Algebras of symbols and modular forms
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Publication:1922216
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
Hilbert spacerepresentationmodular formsholomorphic functionHilbert-Schmidt operatorsymbolic calculus of operators
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
Cites Work
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- A quantization of the Cartan domain BD I \((q=2)\) and operators on the light cone
- Distributions spheriques sur les espaces hyperboliques
- Sums involving the values at negative integers of \(L\)-functions of quadratic characters
- Representations of \(\text{SL}(2,\mathbb{R})\) and symbolic calculi
- Harmonic analysis on hyperboloids
- Quantification et analyse pseudo-différentielle
- QUANTIZATION
- QUANTIZATION IN COMPLEX SYMMETRIC SPACES
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