Results 31 to 40 of about 598 (181)
On the Weyl law for Toeplitz operators [PDF]
Asymptotic Analysis, 2009 A Weyl law for Toeplitz operators was proved by Boutet de Monvel and Guillemin for general Toeplitz structures. In the setting of positive line bundles, we revisit this theme in light of local asymptotic techniques based on the microlocal theory of the Szego kernel.
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Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
Journal of Function Spaces and Applications, 2012 We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
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Dual Toeplitz Operators on Bounded Symmetric Domains
MathematicsWe give some characterizations of dual Toeplitz operators acting on the orthogonal complement of the Bergman space over bounded symmetric domains. Our main result characterizes those finite sums of products of Toeplitz operators that are themselves dual ...
Jianxiang Dong
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Toeplitz Operators on the Dirichlet Space of đčn
Abstract and Applied Analysis, 2012 We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball đčn. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
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On the Commutativity of a Certain Class of Toeplitz Operators
Concrete Operators, 2014 One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam +2 more
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Toeplitz matrix completion via a low-rank approximation algorithm
Journal of Inequalities and Applications, 2020 In this paper, we propose a low-rank matrix approximation algorithm for solving the Toeplitz matrix completion (TMC) problem. The approximation matrix was obtained by the mean projection operator on the set of feasible Toeplitz matrices for every ...
Ruiping Wen, Yaru Fu
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Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI
Advanced Science, EarlyView.ABSTRACT 2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is timeâconsuming, motivating the reconstruction of the velocity field from undersampled measurements to reduce scan times. In this work, neural fields are proposed as a continuous spatiotemporal
Pablo Arratia +7 more
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Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space
Journal of Function Spaces and Applications, 2013 We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be
Jingyu Yang, Liu Liu, Yufeng Lu
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Asian Journal of Control, EarlyView.Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
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Analytic BerezinâToeplitz operators [PDF]
Mathematische Zeitschrift, 2021 We introduce new tools for analytic microlocal analysis on KĂ€hler manifolds. As an application, we prove that the space of Berezin-Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel asymptotics up to an exponentially small error.
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