Results 21 to 30 of about 3,734 (119)

Localized Frames and Compactness [PDF]

, 2015
We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers, Calderon ...
Batayneh, Fawwaz, Mitkovski, Mishko
core   +1 more source

Berezin-Toeplitz quantization and Berezin transform [PDF]

, 2000
In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kaehler manifolds are presented. These results are obtained in joint work with M. Bordemann and E. Meinrenken.
Schlichenmaier, Martin
core   +2 more sources

Localization and compactness of Operators on Fock Spaces [PDF]

, 2017
For ...
Hu, Zhangjian, Lv, Xiaofen, Wick, Brett D.   +2 more
core   +3 more sources

Toeplitz operators on symplectic manifolds [PDF]

, 2008
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion.
A. Adem, A.V. Karabegov, B. Kostant, B.V. Fedosov, C. Moreno, D. Borthwick, D. Borthwick, F. Bayen, F. Bayen, F. Bayen, F.A. Berezin, George Marinescu, J.-M. Bismut, J.-M. Souriau, L. Boutet de Monvel, L. Boutet de Monvel, L. Charles, L. Charles, L.A. Coburn, M. Bordemann, M. Cahen, M. Cahen, M. Cahen, M. Cahen, M. Schlichenmaier, M.E. Taylor, M.J. Pflaum, M.J. Pflaum, N. Berline, S. Klimek, V. Guillemin, X. Dai, X. Ma, X. Ma, X. Ma, X. Ma, X. Ma, Xiaonan Ma   +37 more
core   +1 more source

Positive Quantization in the Presence of a Variable Magnetic Field [PDF]

, 2010
Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantization of a natural Poisson algebra.
Ali S. T., Lein M., Marius Măntoiu, Măntoiu M., Radu Purice, Serge Richard   +5 more
core   +7 more sources

Berezin-Toeplitz quantization on Kaehler manifolds

, 2011
We study the Berezin-Toeplitz quantization on Kaehler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion of the kernel of the Berezin-Toeplitz operators, and of
Ma, Xiaonan, Marinescu, George
core   +1 more source

The Essential Norm of Operators on $A^p_\alpha(\mathbb{B}_n)$ [PDF]

, 2012
In this paper we characterize the compact operators on $A^p_\alpha(\mathbb{B}_n)$ when $1-1$. The main result shows that an operator on $A^p_\alpha(\mathbb{B}_n)$ is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform ...
Mitkovski, Mishko, Suárez, Daniel, Wick, Brett D.   +2 more
core   +2 more sources

Berezin inequalities for sums of operators and classical inequalities concerning the Berezin radius

Vojnotehnički Glasnik
Introduction/purpose: In this article, the author’s goal is to seek to obtain new inequalities of the Berezin type. Methods: The methods used are standard for operator theory. Results: Various inequalities of the type given by Huban et al.
Mehmet Gürdal, Vuk N. Stojiljković
doaj   +1 more source

Construction of Self-Adjoint Berezin-Toeplitz Operators on Kahler Manifolds and a Probabilistic Representation of the Associated Semigroups

, 2002
We investigate a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-integrable holomorphic sections in a line bundle over the classical phase ...
Alicki, Alicki, Berezin, Berezin, Berezin, Berezin, Bernhard G. Bodmann, Bodmann, Bordemann, Borthwick, Cahen, Cahen, Cahen, Cahen, Charles, Cichoń, Daubechies, Daubechies, Daubechies, Davies, Greene, Janas, Khaśminskii, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, McKenna, Nelson, Onofri, Simon, Souriau, Sturm   +37 more
core   +3 more sources

Berezin-Toeplitz Quantization and Star Products for Compact Kaehler Manifolds

, 2012
For compact quantizable K\"ahler manifolds certain naturally defined star products and their constructions are reviewed. The presentation centers around the Berezin-Toeplitz quantization scheme which is explained.
Schlichenmaier, Martin
core   +1 more source