Berezin symbols on the unit sphere of ℂn

DOI10.1080/10652469.2017.1414213zbMath1384.33016OpenAlexW2777238706MaRDI QIDQ5374303

Erik I. Díaz-Ortiz

Publication date: 10 April 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1414213

zbMATH Keywords

hypergeometric functionreproducing kernelBessel functionstar productBerezin quantizationholomorphic 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) Other partial differential equations of complex analysis in several variables (32W50)

Related Items (1)

Coherent states on the unit ball of C n and asymptotic expansion of their associated covariant symbol

Cites Work

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• Hypergeometric type functions and their symmetries
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Deformation theory and quantization. I: Deformations of symplectic structures
• Semiclassical properties of coherent states for \(L^2(S^n)\), \(n=2,3,5\)
• Table errata: Table of integrals, series and products [English translation of the fourth Russian edition, Academic Press, New York, 1965; MR 33 #5952 by I. S. Gradšteĭn and I. M. Ryžik]
• QUANTIZATION
• Hypergeometric reproducing kernels and analytic continuation from a half-line
• The asymptotics of a Laplace integral on a Kähler manifold
• Theory of Reproducing Kernels

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