Results 131 to 140 of about 375,843 (160)

Analytic Berezin–Toeplitz operators

Mathematische Zeitschrift, 2019
We introduce new tools for analytic microlocal analysis on Kähler manifolds. As an application, we prove that the space of Berezin–Toeplitz operators with analytic contravariant symbol is an algebra.
L. Charles
semanticscholar   +1 more source

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.
openaire   +2 more sources

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
openaire   +2 more sources

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 ...
openaire   +1 more source

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
openaire  

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.
openaire   +2 more sources

Some new relations between the Berezin number and the Berezin norm of operators

Rocky Mountain Journal of Mathematics, 2022
Ramiz Tapdigoglu
exaly  

Development of the Berezin Number Inequalities

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

Berezin number inequalities of operators on reproducing kernel Hilbert spaces

Rocky Mountain Journal of Mathematics, 2022
Anirban Sen, Pintu Bhunia, Kallol Paul   +2 more
exaly  

Bounded and Compact Toeplitz Operators with Positive Measure Symbol on Fock-Type Spaces

Journal of Geometric Analysis, 2020
Xiaofeng Wang, Z. Tu, Zhangjian Hu
semanticscholar   +1 more source