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Titlebook: Complex Analysis, Operators, and Related Topics; The S. A. Vinogradov Victor P. Havin,Nikolai K. Nikolski Conference proceedings 2000 Sprin

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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/c/image/231390.jpg
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Interpolation Involving Bounded Bianalytic Functionserpolation precisely as their parent lattices. Some applications to free interpolation by Fourier coefficients of bounded bianalytic functions are considered. (Note different meanings of the word “interpolation”.)
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Scattering Problem with Physical Behavior of Scattering Matrix and Operator Relationsn to the subspace generated by the original Hilbert space is a selfadjoint operator (if the perturbation is singular). The relations with the corresponding scattering problem are investigated. In particular, the case where the scattering matrix has physical behavior at infinity is examined.
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Complex Analysis, Operators, and Related Topics978-3-0348-8378-8Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Narayanaswamy Balakrishnan,Erhard Cramerdefined on .; the problem is to know whether Ψ agrees on . with an element of .. For many concrete and interesting situations this question has been given a satisfactory answer. There are a lot of examples illustrating this general setting, but we are going to describe only two, directly related to our subject.
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Chin-Diew Lai,D.N. Murthy,Min Xie of a given degree. Many other embeddings for such functions follow from this result. For the Hardy-Littlewood theorem itself, a refinement in terms of rational approximation is proved. As an application, a sharp rational approximation theorem in the Bergman norm is obtained.
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