Noncommutative complex analysis and Bargmann-Segal multipliers

DOI10.1090/S0002-9939-01-05897-XzbMath0982.46060arXivmath/9908025OpenAlexW1639400266MaRDI QIDQ2716112

Richard Rochberg, Nikolai Weaver

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9908025

zbMATH Keywords

noncommutative geometryCauchy-Riemann equationscreation operatorsBargmann-Segal multipliersBargmann-Segal space

Mathematics Subject Classification ID

Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Special classes of entire functions of one complex variable and growth estimates (30D15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

The Reproducing Kernel Property and Its Space: The Basics ⋮ The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications ⋮ D-bar operators on quantum domains ⋮ Noncommutative unitons ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Moduli spaces of solutions of a noncommutative sigma model

Cites Work

• Differential calculus on compact matrix pseudogroups (quantum groups)
• Unbounded Toeplitz operators in the Segal-Bargmann space. II
• Toeplitz Operators on the Segal-Bargmann Space
• Unbounded Toeplitz operators in the Bargmann-Segal space
• Harmonic Analysis in Phase Space. (AM-122)
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• COHERENT STATES AND THEIR GENERALIZATIONS: A MATHEMATICAL OVERVIEW
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