Berezin Quantization and Reproducing Kernels on Complex Domains

DOI10.1090/S0002-9947-96-01551-6zbMath0842.46053OpenAlexW1509759338MaRDI QIDQ4875708

Miroslav Engliš

Publication date: 31 July 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01551-6

zbMATH Keywords

Bergman spacequantizationweighted Bergman spacesreproducing kernelKähler formbounded symmetric domainKähler-Liouville measurenon-compact complex manifoldplanar domains with the Poincaré metric

Mathematics Subject Classification ID

Kähler manifolds (32Q15) General quantum mechanics and problems of quantization (81S99) Applications of functional analysis in quantum physics (46N50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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