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Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kähler manifolds [PDF]
, 1998 For phase-space manifolds which are compact Kähler manifolds relations between the Berezin-Toeplitz quantization and the quantization with the help of Berezin's coherent states and symbols are studied.
Schlichenmaier, Martin
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Berezin quantization and representation theory
, 2023 We present an approach to Berezin quantization (a variant of quantization in the spirit of Berezin) on para-Hermitian symmetric spaces using the notion of an "overgroup".
Molchanov, V. F.
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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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peer reviewedThe Berezin-Toeplitz quantization is a geometrically defined method to quantize Kähler manifolds. Its definition and properties are presented. The notion of a quantizable Kähler manifold is introduced.
SCHLICHENMAIER, Martin
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On A-Berezin number in functional Hilbert space
FilomatA-Berezin radius distance andA-Berezin norm distance are presented in this study. Furthermore, by employing the notions of A-Berezin radius distance and A-Berezin norm distance, we find A-Berezin radius inequalities of the product and commutator of functional Hilbert space operators. Moreover, we generalize the A-Berezin radius distance.
GÜRDAL, Mehmet, Başaran, Hamdullah
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Berezin transform of slice functions
, 2017 In a recent paper, we introduced the Berezin transform of quaternionic linear operators and we obtained some properties in the setting of weighted Bergman spaces of slice hyperholomorphic functions.
Gantner, J. +3 more
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Berezin-Toeplitz quantization on Kaehler manifolds
, 2011 45 pages, footnote at page 3 and Remark 0.5 added; v.3 is a final update to agree with the published paperWe study the Berezin-Toeplitz quantization on Kaehler manifolds.
George Marinescu +3 more
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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 NORM AND BEREZIN RADIUS INEQUALITIES OF PRODUCTS AND SUMS WITH SELBERG OPERATOR
We prove new inequalities related to the Berezin norm and Berezin radius of some products and sums with the Selberg operator on a reproducing kernel Hilbert ...
Erkan, Gamze Gül +2 more
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Reproducing Kernels and Berezin Symbols Techniques in Various Questions of Operator Theory
, 2013 In this paper we give some applications of reproducing kernels and Berezin symbols techniques in various questions of operator theory in the functional Hilbert spaces of complex-valued functions.
M. T. Karaev, Karaev, M. T.
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