Invariant Cauchy-Riemann operators and relative discrete series of line bundles over the unit ball of \({\mathbb{C}}^d\)

DOI10.1307/mmj/1030132190zbMath0957.43004OpenAlexW1970672225MaRDI QIDQ1590900

Genkai Zhang, Jaak Peetre

Publication date: 1 January 2001

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1030132190

zbMATH Keywords

Bergman spacebounded symmetric domainsholomorphic discrete seriesrelative discrete seriesinvariant Cauchy-Riemann operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Complex Lie groups, group actions on complex spaces (32M05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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