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Algebraic and ergodicity properties of the Berezin transform

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Publication:380700
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zbMath1327.47030MaRDI QIDQ380700

Rajendra Prasad Lal, Namita Das

Publication date: 14 November 2013

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

Full work available at URL: https://projecteuclid.org/euclid.cma/1364216232


zbMATH Keywords

contractionBergman spacepositive operatorsHelgason-Fourier transform


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Linear operators on function spaces (general) (47B38)





Cites Work

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  • The product of operators with closed range in Hilbert \(C^{*}\)-modules
  • Berezin transform on the \(L^2\) space with respect to the invariant measure
  • On power bounded operators
  • An invariant volume-mean-value property
  • Functions invariant under the Berezin transform
  • The volume mean-value property of harmonic functions
  • QUANTIZATION IN COMPLEX SYMMETRIC SPACES
  • Spaces of Holomorphic Functions in the Unit Ball
  • H^p-theory for generalized M-harmonic functions in the unit ball




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