The Bergman kernel function

DOI10.1007/S13226-010-0010-4zbMath1197.32001OpenAlexW1981624759MaRDI QIDQ981861

Gadadhar Misra

Publication date: 9 July 2010

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0010-4

zbMATH Keywords

kernel functionmultiplication operatorsubnormal operatorhomogeneous operatordiscrete series representationBerezin-Wallach setbiholomorphic automorphism groupquasi-invariance property

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel operators (47B34) Bergman spaces and Fock spaces (30H20)

Related Items (2)

On selfadjoint homogeneous operators ⋮ Quasi-invariance of the Dirichlet series kernels, analytic symbols and homogeneous operators

Cites Work

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• General concept of quantization
• Homogeneous operators, jet construction and similarity
• Homogeneous operators on Hilbert spaces of holomorphic functions
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Homogeneous operators and projective representations of the Möbius group: A survey
• The homogeneous shifts.
• Homogeneous tuples of multiplication operators on twisted Bergman spaces
• Function spaces and reproducing kernels on bounded symmetric domains
• Multiplicity-free homogeneous operators in the Cowen-Douglas class
• Complex geometry and operator theory

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