Results 61 to 70 of about 105 (95)

On the Berezin Symbol

Journal of Mathematical Sciences, 2003
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Toeplitz–Berezin-type symbols and solutions of some operator equations

Illinois Journal of Mathematics, 2023
The purpose of the authors is to seek invariant subspaces of some Toeplitz operators on the Dirichlet space (defined on the complex unit ball) in terms of Toeplitz-Berezin type symbols and they furnish necessary conditions for a subspace, of the Dirichlet space, to be invariant under the action of a Toeplitz operator.
Garayev, Mubariz, Guediri, Hocine, Sadraoui, Houcine   +2 more
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Boundary Values of Berezin Symbols

1994
A functional Hilbert space is a collection H of complex-valued functions on some set S such that H is a Hilbert space with respect to the usual vector operations on functions and which has the property that point evaluations are continuous (i.e., for each z ∊ S, the map f → f (z) is a continuous linear functional on H).
Eric Nordgren, Peter Rosenthal
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Berezin Symbols and Schatten--von Neumann Classes

Mathematical Notes, 2002
This paper deals with the description of the Schatten-von Neumann classes in terms of Berezin symbols. In terms of Berezin symbols, the author presents several criteria for operators to belong to the Schatten-von Neumann class \({\mathcal S}_p\). In particular, for functions of model operators, he gives a complete answer to a question posed by Nordgren
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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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Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus

American Journal of Mathematics, 1988
Let \(\Omega\) be a bounded symmetric (Cartan) domain in \({\mathbb{C}}^ n\) with \(dV\) normalized Lebesgue measure on \(\Omega\). Let \(H^ 2=H^ 2(\Omega,dV)\) denote the Bergman subspace of \(L^ 2(\Omega,dV)\) consisting of holomorphic functions and \(T_ f\) denote the Toeplitz operator on \(H^ 2\).
Berger, C. A., Coburn, L. A., Zhu, K. H.
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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 sembolü ve bazı uygulamaları = Berezin symbol and some applications / [PDF]

Tez (Doktora) - Süleyman Demirel Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, 2016.
Yamancı, Ulaş, 1987- author 62951, Süleyman Demirel Üniversitesi. Fen Bilimleri Enstitüsü. Matematik Anabilim Dalı. issuing body 10117, Gürdal, Mehmet, 1976- thesis advisor 14209   +2 more
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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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Development of the Berezin Number Inequalities

Acta Mathematica Sinica, English Series, 2023
Kallol Paul, Pintu Bhunia, Anirban Sen   +2 more
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