Results 51 to 60 of about 731,235 (136)
, 2003 We study zero products of two Bergman space Toeplitz operators, where one symbol is harmonic. Our results point in the direction of the zero product problem having only a trivial solution.
Željko Čučković +1 more
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Molecular Microbiology, Volume 124, Issue 1, Page 20-39, July 2025.A novel TetR‐like regulator (EppR) has been identified to repress genes encoding DNA polymerase V in Acinetobacter baumannii through the direct binding of a conserved EppR motif in their promoters. EppR works with previously identified regulator UmuDAb to serve as co‐regulators of these genes. In response to DNA damage and/or environmental stress, both
Brian Nguyen +6 more
wiley +1 more source
m-Berezin transform and compact operators
, 2006 m-Berezin transforms are introduced for bounded operators on the Bergman space of the unit ball. The norm of the m-Berezin transform as a linear operator from the space of bounded operators to L8 is found.
Zhong, Changyong +2 more
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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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An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
On some problems for reproducing Kernel Hilbert space operators via the Berezin transform
, 2022 We give some applications of Berezin transforms and Engliś C∗-algebras methods, namely we investigate the solution of generalized Riccati operator equation of the form XAX+∑i=1NBiXCi-D=0,N≥2via Berezin transforms.
Tapdıgoğlu, Ramiz, Karaev, M. T.
core +1 more source
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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Compact operators via the Berezin transform
, 1998 In this paper we prove that if S equals a nite sum of nite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 ...
Dechao Zheng, Sheldon Axler
core
Toeplltz operators and the Berezin transform on H2 [PDF]
, 1995 For T a bounded linear operator on the Hardy space H2, its Berezin transform is the function T̃ on the unit disc defined by T̃(λ) = 〈Tkλ, kλ〉 where kλ(z) = (1 - λ2)12(1 - λz) is the normalized reproducing (Szegö) kernel.
Engliš, Miroslav
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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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