Invertibility of matrix Wiener--Hopf plus Hankel operators with APW Fourier symbols.
Bogveradze, G., Castro, L.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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Bogveradze, G., Castro, L.P. (2006)
International Journal of Mathematics and Mathematical Sciences
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M. Cristina Câmara (2017)
Concrete Operators
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Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf factorisation of their symbols, obtaining necessary and sufficient conditions for the operator to be Fredholm or invertible, as well as formulae for their inverses or one-sided inverses when these exist. The results are applied to a...
Saifallah Ghobber (2018)
Czechoslovak Mathematical Journal
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The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.
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 and , an operator is said to be a generalized Hankel operator if and satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of and . 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...
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.
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.
Robert Stańczy (1998)
Annales Polonici Mathematici
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The existence of solutions of Hammerstein equations in the space of bounded and continuous functions is proved. It is obtained by the Schauder fixed point theorem using a compactness theorem. The result is applied to Wiener-Hopf equations and to ODE's.
Yufeng Lu, Linghui Kong (2014)
Studia Mathematica
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We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.
Boettcher, A., Grudsky, S.M., Silbermann, B. (1997)
The New York Journal of Mathematics [electronic only]
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Jorge J. Betancor, Isabel Marrero (1997)
Czechoslovak Mathematical Journal
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Layman, John W. (2001)
Journal of Integer Sequences [electronic only]
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