Theorems of Paley–Wiener Type for Spaces of Polyanalytic Functions

DOI10.1007/978-3-319-12577-0_66zbMath1344.46021OpenAlexW242473930MaRDI QIDQ2949318

Ana Moura Santos, Luís V. Pessoa

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_66

zbMATH Keywords

polyanalytic functionspoly-Bergman spaceBeurling-Ahlfors transformPaley-Wiener theorems

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (3)

Toeplitz Operators with Singular Symbols in Polyanalytic Bergman Spaces on the Half-Plane ⋮ Polyharmonic Bergman spaces and Bargmann type transforms ⋮ Toeplitz operators in polyanalytic Bergman type spaces

Cites Work

• Dzhuraev's formulas and poly-Bergman kernels on domains Möbius equivalent to a disk
• Super-wavelets versus poly-Bergman spaces
• On the structure of Bergman and poly-Bergman spaces
• Commutative algebras of Toeplitz operators on the Bergman space
• \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients
• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
• The method of variation of the domain for poly‐Bergman spaces
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