A transform on classical bounded symmetric domains associated with a holomorphic discrete series

DOI10.3836/tjm/1270133182zbMath0702.22013OpenAlexW2048606721MaRDI QIDQ914857

Takeshi Kawazoe

Publication date: 1989

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

Full work available at URL: https://doi.org/10.3836/tjm/1270133182

zbMATH Keywords

fractional derivativesBergman spaceholomorphic discrete series representationsholomorphic functionsunit discfractional linear transformationsSU(1,1)

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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