Results 201 to 210 of about 18,154 (228)
An Information Geometry-Based Track-Before-Detect Algorithm for Range-Azimuth Measurements in Radar Systems. [PDF]
Entropy (Basel)Liu J, Wu H, Yang Z, Hua X, Cheng Y.
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International Journal of Mathematics, 1996
We study Toeplitz operators on Bergman spaces using techniques from the analysis of Dirac-type operators on complete Riemannian manifolds, and prove an index theorem of Boutet de Monvel from this point of view. Our approach is similar to that of Baum and Douglas [2], but we replace boundary value theory for the Dolbeaut operator with much simpler ...
Guentner, Erik, Higson, Nigel
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We study Toeplitz operators on Bergman spaces using techniques from the analysis of Dirac-type operators on complete Riemannian manifolds, and prove an index theorem of Boutet de Monvel from this point of view. Our approach is similar to that of Baum and Douglas [2], but we replace boundary value theory for the Dolbeaut operator with much simpler ...
Guentner, Erik, Higson, Nigel
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Toeplitz Operators on Dirichlet Spaces
Acta Mathematica Sinica, English Series, 2001Let \(B_n\) be the unit ball in \(\mathbb{C}^n\) and \(\mathcal{D}\) the Dirichlet space, that is, the subspace of analytic functions in the Sobolev space with the norm \[ \left[\sum_{i=1}^n\int_{B_n}\left(\left|\frac{\partial f}{\partial z_i}(z)^2+ \frac{\partial f}{\partial \overline{z_i}}(z)^2 \right|\right) dv\right]^\frac{1}{2}.
Lu, Yu Feng, Sun, Shun Hua
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Complex Symmetric Toeplitz Operators
Integral Equations and Operator Theory, 2021The paper is devoted to study the complex symmetry for Toeplitz operators, with certain trigonometric symbols, over the Hardy space \(H^2\) of the unit circle \(\mathbb{T}\). A~bounded operator \(T\) on a Hilbert complex space is said to be complex symmetric (respectively, canonically symmetric) operator if there is a conjugation (respectively ...
Qinggang Bu, Yong Chen, Sen Zhu
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On Quasisimilarity for Toeplitz Operators
Canadian Mathematical Bulletin, 1985AbstractIn this article we give a sufficient condition for quasisimilar analytic Toeplitz operators to be unitarily equivalent. We also use a result of Deddens and Wong to give a sufficient condition for an operator intertwining two analytic Toeplitz operators to intertwine their inner parts too.
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2023
AbstractThis chapter surveys Toeplitz operators Tφ : H2 → H2, Tφf = P + (φf), on the Hardy space H2, where φ ∈ L∞(T) and P+ is the orthogonal projection of L2(T) onto H2. We examine the matrix representations of these operators, their spectral properties, and a characterization of them related to the unilateral shift.
Stephan Ramon Garcia +2 more
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AbstractThis chapter surveys Toeplitz operators Tφ : H2 → H2, Tφf = P + (φf), on the Hardy space H2, where φ ∈ L∞(T) and P+ is the orthogonal projection of L2(T) onto H2. We examine the matrix representations of these operators, their spectral properties, and a characterization of them related to the unilateral shift.
Stephan Ramon Garcia +2 more
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Properties of iteration of toeplitz operators with toeplitz preconditioners
BIT Numerical Mathematics, 1998Toeplitz operators are preconditioned by approximations applied to the symbol (also known as generating function) of the operator. The preconditioned operator divides in two parts, a compact one and a perturbation. As a result, Krylov subspace methods exhibit superconvergence in initial iterations. Convergence estimates are given in terms of the symbol
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Rank of Truncated Toeplitz Operators
Complex Analysis and Operator Theory, 2016A Toeplitz operator \(T_\phi\) with symbol \(\phi\in L^\infty\) is a map between Hardy spaces \(H^2\ni f\mapsto P(\phi f)\in H^2\), where \(P\) is the orthogonal projection onto \(H^2\). Recall that \(T_{\overline{f}g}=T_{\overline{f}}T_g\) for \(f,g\in H^\infty\).
Gu, Caixing, Kang, Dong-O
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