Rankin-Cohen brackets on pseudodifferential operators

DOI10.1016/j.jmaa.2006.03.048zbMath1114.11046OpenAlexW2059595143MaRDI QIDQ865306

Min Ho Lee, Young Ju Choie

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.048

zbMATH Keywords

Jacobi formsmodular formstheta functionsRankin-Cohen brackets

Mathematics Subject Classification ID

Integral operators (47G10) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Holomorphic modular forms of integral weight (11F11) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (2)

Invariants of formal pseudodifferential operator algebras and algebraic modular forms ⋮ SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions

Cites Work

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• The theory of Jacobi forms
• Modular forms and differential operators
• Jacobi forms and the heat operator
• Rankin-Cohen operators for Jacobi and Siegel forms
• Modular Forms Associated to Theta Functions

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