Berezin--Toeplitz quantization and composition formulas (Q1019695)
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scientific article; zbMATH DE number 5561667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Berezin--Toeplitz quantization and composition formulas |
scientific article; zbMATH DE number 5561667 |
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Berezin--Toeplitz quantization and composition formulas (English)
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4 June 2009
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The main goal of the paper is to prove composition formulas for Berezin--Toeplitz operators acting on a scale of Banach spaces by using various integral transforms. In addition, relations between different products that arise in deformation quantization are exposed, and the results are applied to \(C^\ast\)-algebras generated by Toeplitz operators with symbols of vanishing mean oscillation.
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Berezin-Toeplitz operator
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heat equation
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Berezin transform
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star product
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deformation quantization
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Fourier-Wiener transform
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Segal-Bargmann space
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