Tracking poles and representing Hankel operators directly from data.

P.G. Spain; N.J. Young; J.W. Helton

Displaying similar documents to “Tracking poles and representing Hankel operators directly from data.”

Zeros of the Modified Hankel Function.

E.M. FERREIRA, J. SESMA (1970/71)

Numerische Mathematik

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The Zeros of the Hankel Function as a Function of its Order.

W. MAGNUS, L. KOTIN (1960)

Numerische Mathematik

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The Zeros of Hankel Functions as Functions of Their Order.

J.A. COCHRAN (1965)

Numerische Mathematik

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Solution of Linear Equations with Hankel and Toeplitz Matrices.

J. Rissanen (1974)

Numerische Mathematik

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Transplantation operators and Cesàro operators for the Hankel transform

Yuichi Kanjin (2006)

Studia Mathematica

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The transplantation operators for the Hankel transform are considered. We prove that the transplantation operator maps an integrable function under certain conditions to an integrable function. As an application, we obtain the L¹-boundedness and H¹-boundedness of Cesàro operators for the Hankel transform.

Fast Inversion Algorithms of Toeplitz-plus-Hankel Matrices.

G. Heinig, P. Jankowski, K. Rost (1987/88)

Numerische Mathematik

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On truncations of Hankel and Toeplitz operators.

Aline Bonami, Joaquim Bruna (1999)

Publicacions Matemàtiques

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We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.

On Pták’s generalization of Hankel operators

Carmen H. Mancera, Pedro José Paúl (2001)

Czechoslovak Mathematical Journal

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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions $T_{1} \in ℬ (ℋ_{1})$ and $T_{2} \in ℬ (ℋ_{2})$ , an operator $X ℋ_{1} \to ℋ_{2}$ is said to be a generalized Hankel operator if $T_{2} X = X T_{1}^{*}$ and $X$ satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of $T_{1}$ and $T_{2}$ . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...

Parallel and superfast algorithms for Hankel systems of equations.

G. Heinig, P. Jankowski (1990/91)

Numerische Mathematik

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