Results 51 to 60 of about 374,962 (187)

Entanglement entropy on the fuzzy sphere [PDF]

, 2014
We obtain entanglement entropy on the noncommutative (fuzzy) two-sphere. To define a subregion with a well defined boundary in this geometry, we use the symbol map between elements of the noncommutative algebra and functions on the sphere.
Karczmarek, Joanna L., Sabella-Garnier, Philippe   +1 more
core   +2 more sources

Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols

International Journal of Mathematics and Mathematical Sciences, 2011
We study the problem of the boundedness and compactness of 𝑇𝜙 when 𝜙∈𝐿2(Ω) and Ω is a planar domain. We find a necessary and sufficient condition while imposing a condition that generalizes the notion of radial symbol on the disk.
Roberto C. Raimondo
doaj   +1 more source

Berezin-Type Operators on the Cotangent Bundle of a Nilpotent Group [PDF]

, 2019
We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product between a connected simply connected nilpotent Lie group and the dual of its Lie algebra.
A Grossmann, A Melin, BC Hall, D Manchon, D Manchon, E Cordero, E Cordero, H Bustos, J Toft, K Miller, K Miller, LJ Corwin, M Combescure, M Măntoiu, M Măntoiu, M Măntoiu, M Ruzhansky, MW Wong, MW Wong, P Boggiatto, P Boggiatto, P Głowacki, P Głowacki, P Głowacki, ST Ali, V Fischer, V Iftimie, V Iftimie   +27 more
core   +2 more sources

On a Class of Composition Operators on Bergman Space

International Journal of Mathematics and Mathematical Sciences, 2007
Let 𝔻={z∈ℂ:|z|
Namita Das, R. P. Lal, C. K. Mohapatra
doaj   +1 more source

Berezin transform on the quantum unit ball

, 2003
We introduce and study, in the framework of a theory of quantum Cartan domains, a q-analogue of the Berezin transform on the unit ball. We construct q-analogues of weighted Bergman spaces, Toeplitz operators and covariant symbol calculus. In studying the
Arazy, Berezin, Berezin, Dmitry Shklyarov, Genkai Zhang, Klimek, Koelink, Neretin, Peetre, Proskurin, Pusz, Shklyarov, Shklyarov, Shklyarov, Shklyarov, Shklyarov, Sinel’shchikov, Unterberger, van Dijk, Wallach   +19 more
core   +1 more source

On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
doaj   +1 more source

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 complex weyl quantization of the torus t${}^2$ [PDF]

, 2017
In this paper, we give a correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the torus $ \mathbb{T}^2$. To achieve this, we use the correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the ...
O. Rouby
semanticscholar   +1 more source

Localization and Toeplitz Operators on Polyanalytic Fock Spaces [PDF]

, 2011
The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann Transform and Windowed Fourier Transform}, Integr. equ.
Faustino, Nelson
core  

Discrete Moyal-type representations for a spin [PDF]

, 2000
In Moyal’s formulation of quantum mechanics, a quantum spin s is described in terms of continuous symbols, i.e., by smooth functions on a two-dimensional sphere.
A. Perelomov, A. R. Edmonds, A. Royer, C. Brif, E.P. Wigner, F.A. Berezin, F.T. Arecchi, J.-P. Amiet, J.-P. Amiet, J.-P. Amiet, J.-P. Amiet, J.E. Moyal, J.M. Jauch, L. Verde-Star, R.L. Stratonovich, St. Weigert, Stefan Weigert, Stephan Heiss, W. H. Greub   +18 more
core   +3 more sources