Berezin transform on real bounded symmetric domains (Q2716160)

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scientific article; zbMATH DE number 1602216
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Berezin transform on real bounded symmetric domains
scientific article; zbMATH DE number 1602216

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    Berezin transform on real bounded symmetric domains (English)
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    6 June 2001
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    real bounded symmetric domains
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    Berezin transform
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    irreducible decomposition
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    Berezin kernel
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    weighted Bergman spaces
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    The author considers the Berezin transform on \(L^2(D)\), where \(D\) is a real bounded symmetric domain, and describes the spectral symbol of the Berezin transform under the irreducible decomposition of \(L^2(D)\). Some other properties connected with this transform, the Berezin kernel and weighted Bergman spaces are also studied.
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