Berezin transform on the \(L^2\) space with respect to the invariant measure

zbMath1235.34187MaRDI QIDQ662363

Juan-Miguel Gracia

Publication date: 22 February 2012

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1313164489

zbMATH Keywords

ergodicityinvariant measurereproducing kernelsBerezin transformcontractions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Periodic solutions to functional-differential equations (34K13)

Related Items (1)

Algebraic and ergodicity properties of the Berezin transform

Cites Work

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• The product of operators with closed range in Hilbert \(C^{*}\)-modules
• On power bounded operators
• An invariant volume-mean-value property
• Functions invariant under the Berezin transform

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