Semiclassical concentration estimates for Berezin-Toeplitz quasimodes for regular energies
The purpose of this article is to prove sharp $L^p$ bounds for quasimodes of Berezin-Toeplitz operators. We consider examples with explicit computations and a general situation on compact spaces and $\mathbb{C}^n$.
Réguer, Nathan
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Berezin-Toeplitz quantization and complex Weyl quantization of the torus t²
, 2017 International audienceIn this paper, we give a correspondence between the Berezin-Toeplitz and the complex Weyl quantizations of the torus $ \mathbb{T}^2$.
Rouby, Ophélie, Ophélie Rouby
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Berezin-Toeplitz Quantization and Berezin Transform [PDF]
, 2000 In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kähler manifolds are presented. These results are obtained in joint work with M. Bordemann and E. Meinrenken.
Schlichenmaier, Martin +1 more
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New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space
, 2021 We use Kittaneh and Manasrah inequality and Kian’s functional calculus method to prove some new inequalities for Berezin symbols and Berezin numbers of operators.
Tapdıgoğlu, Ramiz, Ramiz Tapdigoglu
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The Berezin transform and operators on spaces of analytic functions [PDF]
, 1997 In this article we will illustrate how the Berezin transform (or symbol) can be used to study classes of operators on certain spaces of analytic functions, such as the Hardy space, the Bergman space and the Fock space.
Stroethoff, Karel
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Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions
Kuwait Journal of Science, 2016 Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev +2 more
doaj
Berezin symbols and operator theory
, 2000 Let 'H' be a standard analytic functional Hilbert space over a bounded domain [Omega] ? C. We examine the Berezin symbols 'A~' of bounded operators A?BH and characterize the compact operators KH by Berezin symbol behavior.
Potter, Michael James A.
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NEW UPPER BOUNDS RELATED TO THE BEREZIN NUMBER INEQUALITIES
, 2021 The Berezin symbol (A) over tilde of an operator A on the reproducing kernel Hilbert space H(Omega) over some set Omega with the reproducing kernel K-lambda is defined ...
Huban, Mualla Birgul +2 more
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Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space. [PDF]
Entropy (Basel), 2022 Baltazar M, Valtierra IF, Klimov AB.
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Atrial fibrillation and coronary artery disease: An integrative review focusing on therapeutic implications of this relationship. [PDF]
World J Cardiol, 2023 Batta A +4 more
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