Results 141 to 150 of about 598 (181)

Krylov diagonalization of large many-body Hamiltonians on a quantum processor. [PDF]

Nat Commun
Yoshioka N, Amico M, Kirby W, Jurcevic P, Dutt A, Fuller B, Garion S, Haas H, Hamamura I, Ivrii A, Majumdar R, Minev Z, Motta M, Pokharel B, Rivero P, Sharma K, Wood CJ, Javadi-Abhari A, Mezzacapo A.   +18 more
europepmc   +1 more source

Convergence of the Immersed Interface Method in Linear Elasticity. [PDF]

Mathematica (N Y)
Asghar S, Peng Q, Javierre E, Vermolen F.   +3 more
europepmc   +1 more source

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A NOTE ON TOEPLITZ OPERATORS

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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Toeplitz Operators on Dirichlet Spaces

Acta Mathematica Sinica, English Series, 2001
Let \(B_n\) 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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On Quasisimilarity for Toeplitz Operators

Canadian Mathematical Bulletin, 1985
AbstractIn 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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Toeplitz Operators

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, Javad Mashreghi, William T. Ross   +2 more
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Properties of iteration of toeplitz operators with toeplitz preconditioners

BIT Numerical Mathematics, 1998
Toeplitz 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, 2016
A 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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Analytic Continuation of Toeplitz Operators

The Journal of Geometric Analysis, 2014
Let \(f(z)=\sum_\nu f_\nu z^\nu\) be a holomorphic function on the unit ball \({\mathbb B}^n\) in \({\mathbb C}^n\). For \(\alpha\in{\mathbb R}\), \textit{R.-H. Zhao} and \textit{K. Zhu} [Mém. Soc. Math. Fr., Nouv. Sér. 115, 1--103 (2008; Zbl 1176.32001)] considered \(\|f\|_{\alpha,\#}^2:=\sum_\nu\frac{\nu!}{|\nu|!}\frac{|f_\nu|^2}{(|\nu|+1)^{\alpha+n}}
Bommier-Hato, H., Engliš, M. (Miroslav), Youssfi, E.-H.   +2 more
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