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＜電子ブック＞
Interpolation, Schur Functions and Moment Problems / edited by Daniel Alpay, Israel Gohberg
(Linear Operators and Linear Systems. ISSN:25043617 ; 165)

版	1st ed. 2006.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2006
本文言語	英語
大きさ	XI, 304 p : online resource
著者標目	Alpay, Daniel editor Gohberg, Israel editor SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:System theory LCSH:Control theory LCSH:Functional analysis FREE:Operator Theory FREE:Systems Theory, Control FREE:Functional Analysis
一般注記	Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions -- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems -- Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions -- A Truncated Matricial Moment Problem on a Finite Interval -- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions -- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes HTTP:URL=https://doi.org/10.1007/3-7643-7547-7

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