WEIGHTED COMPOSITION OPERATORS ON THE ROTATION-INVARIANT SEGAL-BARGMANN SPACES

DOI10.17654/FA010020061zbMath1476.47020OpenAlexW2890922090MaRDI QIDQ5204945

Sarat Sinlapavongsa, Areerak K. Chaiworn

Publication date: 10 December 2019

Published in: International Journal of Functional Analysis, Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/fa010020061

zbMATH Keywords

weighted composition operatorsSegal-Bargmann spacerotation-invariance

Mathematics Subject Classification ID

Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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• Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• The Segal-Bargmann transform for path-groups
• Weighted Bergman kernels and quantization
• On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
• A pointwise bound for rotation-invariant holomorphic functions that are square integrable with respect to a Gaussian measure
• On a Hilbert space of analytic functions and an associated integral transform part I
• Weighted composition operator on the Fock space
• Harmonic analysis with respect to heat kernel measure

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