Results 21 to 30 of about 257 (144)

Berezin Yarıçapı İçin Diğer Eşitsizlikler

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023
İşlevsel Hilbert uzayları, istatistik, yaklaşım teorisi, grup temsili teorisi, vb. dahil olmak üzere birçok alanda ortaya çıkar. İşlevsel Hilbert uzay sayesinde tanımlanan Berezin dönüşümü ise, düzgün fonksiyonları analitik fonksiyonların Hilbert ...
Mehmet Gürdal, Hamdullah Başaran
doaj   +1 more source

The Berezin transform on the Toeplitz algebra [PDF]

open access: yesStudia Mathematica, 1998
29 pages.
Axler, Sheldon, Zheng, Dechao
openaire   +3 more sources

On the derivatives of the Berezin transform [PDF]

open access: yesProceedings of the American Mathematical Society, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Engliš, M. (Miroslav), Zhang, G.
openaire   +2 more sources

Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results

open access: yesAdvances in Mathematical Physics, 2010
This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given.
Martin Schlichenmaier
doaj   +1 more source

Toeplitz Operators with Essentially Radial Symbols

open access: yesInternational 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

Compact operators via the Berezin transform [PDF]

open access: yesIndiana University Mathematics Journal, 1998
In this paper we prove that if S equals a finite sum of finite 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 on the boundary of the disk. This result is new even when S equals a single Toeplitz operator.
Axler, Sheldon, Zheng, Dechao
openaire   +2 more sources

Spectral aspects of the Berezin transform [PDF]

open access: yesAnnales Henri Lebesgue, 2020
We discuss the Berezin transform, a Markov operator associated to positive operator valued measures (POVMs), in a number of contexts including the Berezin–Toeplitz quantization, Donaldson’s dynamical system on the space of Hermitian inner products on a complex vector space, representations of finite groups, and quantum noise.
Ioos, Louis   +3 more
openaire   +3 more sources

Berezin transform in polynomial bergman spaces [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2010
AbstractFix a smooth weight function Q in the plane, subject to a growth condition from below. Let Km,n denote the reproducing kernel for the Hilbert space of analytic polynomials of degree at most n − 1 of finite L2‐norm with respect to the measure e−mQ dA. Here dA is normalized area measure, and m is a positive real scaling parameter. The (polynomial)
Ameur, Yacin   +2 more
openaire   +3 more sources

Toeplitz Operators on Weighted Bergman Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the Bekollé-Bonami condition in terms of the Berezin transform.
Gerardo R. Chacón
doaj   +1 more source

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