Results 11 to 20 of about 257 (142)
Invertibility and Fredholm Property of Fock Toeplitz Operators
Mathematics, 2023 We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
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Berezin Yarıçapı İçin Diğer Eşitsizlikler
Süleyman 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
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The Berezin transform on the Toeplitz algebra [PDF]
Studia Mathematica, 1998 29 pages.
Axler, Sheldon, Zheng, Dechao
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BEREZIN-TOEPLITZ QUANTIZATION AND BEREZIN TRANSFORM [PDF]
Long Time Behaviour of Classical and Quantum Systems, 2001 17 ...
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Berezin transform in polynomial bergman spaces [PDF]
Communications 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
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On the derivatives of the Berezin transform [PDF]
Proceedings of the American Mathematical Society, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Engliš, M. (Miroslav), Zhang, G.
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Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results
Advances 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
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Toeplitz Operators with Essentially Radial Symbols
International 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
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Compact operators via the Berezin transform [PDF]
Indiana 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
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Spectral aspects of the Berezin transform [PDF]
Annales 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
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