Hilbert spaces of tensor-valued holomorphic functions on the unit ball of \(\mathbb C^n\).

DOI10.2140/PJM.2004.214.303zbMath1055.32019OpenAlexW2069841537MaRDI QIDQ1880133

Yang Liu, Genkai Zhang, Stephen C. Hwang

Publication date: 17 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2004.214.303

zbMATH Keywords

reproducing kernel Hilbert spacestensor valued holomorphic functionsunit ball of \({\mathbb C}^n\)

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Harmonic analysis of several complex variables (32A50)

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Discrete components in restriction of unitary representations of rank one semisimple Lie groups

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