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＜E-Book＞
Interpolation, Schur Functions and Moment Problems II / edited by Daniel Alpay, Bernd Kirstein
(Linear Operators and Linear Systems. ISSN:25043617 ; 226)

Edition	1st ed. 2012.
Publisher	(Basel : Springer Basel : Imprint: Birkhäuser)
Year	2012
Language	English
Size	VI, 302 p : online resource
Authors	Alpay, Daniel editor Kirstein, Bernd editor SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Mathematical analysis LCSH:Functions of complex variables FREE:Operator Theory FREE:Integral Transforms and Operational Calculus FREE:Functions of a Complex Variable
Notes	The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle HTTP:URL=https://doi.org/10.1007/978-3-0348-0428-8

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