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Some results related with Berezin symbols and Toeplitz operators [PDF]

Mathematical Inequalities & Applications, 2014
We investigate some problems related with Berezin symbols of operators on Hardy and Bergman spaces and their applications in summability theory and in solution of Beurling problem. We also study boundedness and invertibility of some Toeplitz products on the Hardy and Bergman spaces.
KARAEV, Mubariz T., YAMANCI, Ulaş, GÜRDAL, Mehmet   +2 more
openaire   +3 more sources

Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results [PDF]

, 2010
This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kaehler manifolds. The basic objects, concepts, and results are given. This concerns the correct semi-classical limit behaviour of
Schlichenmaier, Martin
core   +4 more sources

Berezin transform and Toeplitz operators on polygonal domains

Complex Variables and Elliptic Equations, 2021
We consider reflexive Bergman spaces on polygonal domains Ω of the complex plane. With some restrictions to the angles of the boundary of Ω, we show that the boundedness of the Toeplitz operator with a positive symbol g is equivalent to the boundedness ...
J. Taskinen
semanticscholar   +1 more source

Symbol correspondences for spin systems [PDF]

, 2014
The present monograph explores the correspondence between quantum and classical mechanics in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems.
Rios, Pedro de M, Straume, Eldar
core   +2 more sources

Toeplitz Operators with Essentially Radial Symbols

International Journal of Mathematics and Mathematical Sciences, 2012
For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform.
Roberto C. Raimondo
doaj   +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

Identification of Berezin-Toeplitz deformation quantization [PDF]

, 2000
We give a complete identification of the deformation quantization which was obtained from the Berezin-Toeplitz quantization on an arbitrary compact Kaehler manifold.
A., A., A., A., A. V. Karabegov, B., Bayen F., Berceanu St., Bertelson M., Bordemann M., Bordemann M., Cahen M., Cahen M., Cahen M., Cahen M., Deligne P., F., Karabegov A. V., M. Schlichenmaier, Melin A., Moreno C., Nest R., Omori H., Wilde M. De   +23 more
core   +1 more source

Open strings in Lie groups and associative products [PDF]

, 2006
Firstly, we generalize a semi-classical limit of open strings on D-branes in group manifolds. The limit gives rise to rigid open strings, whose dynamics can efficiently be described in terms of a matrix algebra.
Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alvarez-Gaume, Balachandran, Behrend, Berezin, Bigatti, Bordemann, Cardy, Charles Jego, Chu, Coste, D'Appollonio, D'Appollonio, Davids, Davids, Douglas, Falcet, Felder, Felder, Figueroa-O'Farrill, Freidel, Gawedzki, Grosse, Hoppe, Hosomichi, Hou, Jan Troost, Jurco, Jurco, Karasev, Karasev, Kirillov, Kirillov, Landsman, Lieb, Liskova, Madore, Maldacena, McGreevy, Moore, Morariu, Morariu, Mukunda, Nielsen, Perelomov, Pierre Bieliavsky, Podles, Ponsot, Ponsot, Pradisi, Rawnsley, Rawnsley, Ribault, Ribault, Rieffel, Runkel, Schomerus, Seiberg, Sfetsos, Simon, Slater, Snyder, Taylor, Troost, Unterberger, Unterberger, Vilenkin, Vilenkin, Weinstein, Weinstein, Weinstein, Whipple, Whipple, Whipple, Wigner, Witten, Witten, Woodhouse, Zakrzewski   +83 more
core   +4 more sources

On some numerical characteristics of operators

Arab Journal of Mathematical Sciences, 2015
We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal, M.T. Garayev, S. Saltan, U. Yamancı   +3 more
doaj   +1 more source

Toeplitz Operators, K\"ahler Manifolds, and Line Bundles [PDF]

, 2007
This is a survey paper. We discuss Toeplitz operators in K\"ahler geometry, with applications to geometric quantization, and review some recent developments.Comment: This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in ...
Foth, Tatyana
core   +3 more sources