On the Fock kernel for the generalized Fock space and generalized hypergeometric series

DOI10.1155/2021/1365674zbMath1483.46024OpenAlexW3195067988MaRDI QIDQ2230005

Jong-Do Park

Publication date: 17 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/1365674

zbMATH Keywords

hypergeometric seriesreproducing kernelgeneralised Fock space

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Generalized hypergeometric series, ({}_pF_q) (33C20) Bergman spaces and Fock spaces (30H20)

Related Items (1)

Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains

Cites Work

• Explicit formulas of the Bergman kernel for some Reinhardt domains
• Explicit formulas of the Bergman kernel for 3-dimensional complex ellipsoids
• Boundedness of the Bergman projection on generalized Fock-Sobolev spaces on \(\mathbb{C}^n\)
• Explicit formula for the reproducing kernels for some weighted Fock spaces
• Duality of Fock spaces with respect to the minimal norm
• The Bergman kernel of complex ovals and multivariable hypergeometric functions
• THE BERGMAN KERNEL FOR INTERSECTION OF TWO COMPLEX ELLIPSOIDS
• Analysis on Fock Spaces
• New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$
• Products of Toeplitz operators on the Fock space

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