\(L^ q\)-estimates of spherical functions and an invariant mean-value property

DOI10.1007/BF01197533zbMath0837.31003MaRDI QIDQ1900672

Genkai Zhang, Jonathan Arazy

Publication date: 21 May 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

harmonic functionCartan domainspherical functionbiholomorphic automorphismsinvariant mean value propertysymmetric Riemann space

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items

Berezin transform on real bounded symmetric domains, Berezin kernels of tube domains, Fixed points of poly-Berezin transforms, Holomorphic retractions and boundary Berezin transforms, Compact Toeplitz operators via the Berezin transform on bounded symmetric domains, Invariant Operators and the Berezin Transform on Cartan Domains

Cites Work

• General concept of quantization
• An invariant volume-mean-value property
• The Berezin transform and invariant differential operators
• A Poisson formula for semi-simple Lie groups
• Function spaces and reproducing kernels on bounded symmetric domains
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