Berezin transform for solvable groups (Q1876541)
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scientific article; zbMATH DE number 2093652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Berezin transform for solvable groups |
scientific article; zbMATH DE number 2093652 |
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Berezin transform for solvable groups (English)
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20 August 2004
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The authors study the Berezin transform for the multi-weighted Bergman spaces \(H^2_\nu(D)=\{h\in L^2(D,d\mu_\nu): h\) holomorphic\} of Gindikin type on homogeneous cones and Siegel domains \(D,\) depending on a vector parameter \(\nu=(\nu_1,\ldots,\nu_r).\) Using an explicit kernel representation for the associated eigen-operators they provide its spectral decomposition.
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Berezin transform
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solvable groups
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homogeneous domains
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