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Berezin–Toeplitz Quantization and Invariant Symbolic Calculi

Letters in Mathematical Physics, 2003
The author describes a way to obtain, on bounded symmetric domains, all the G-invariant star products, which are equivalent to the Berezin-Toeplitz star-products. To quantize Kähler manifolds, the star product used is the Berezin-Toeplitz star product.
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Covariant and Contravariant Berezin Symbols of Bounded Operators

1994
The algebras of covariant and contravariant Berezin symbols for bounded operators are described and a criterion is given for obtaining the symbol of a Hilbert-Schmidt operator. It is also proved that the operators P 1 : L p (M, dµ) →LT p (M) and 〈.〉 : LT p (M) → L p (M,dµ) for 1 ≤ p ≤ ∞, are continuous and linear and that the C*-algebra of all bounded ...
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Berezin’s Coherent States, Symbols and Transform for Compact Kähler Manifolds

2012
We review coherent state techniques for general quantizable compact Kahler manifolds. Discussed are co- and contravariant Berezin symbols, Berezin-Toeplitz quantization, the Berezin transform, and related natural deformation quantizations (star products). These are the Berezin-Toeplitz, the Berezin, and the Geometric Quantization star product.
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Some results for weighted Bergman space operators via Berezin symbols

Mathematica Slovaca
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Berezin–Toeplitz quantization and composition formulas

Journal of Functional Analysis, 2009
Wolfram Bauer
exaly

Berezin and Berezin-Toeplitz Quantizations for General Function Spaces

Revista Matematica Complutense, 2006
Miroslav Englis
exaly

Closed Range Type Properties of Toeplitz Operators on the Bergman Space and the Berezin Transform

Complex Analysis and Operator Theory, 2019
Nina Zorboska
exaly

Berezin symbols on the unit sphere of ℂn

Integral Transforms and Special Functions, 2018
exaly

Localization and Berezin transform on the Fock space

Journal of Functional Analysis, 2013
exaly