Interpolation, Schur functions and moment problems. II

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 beginning...

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Hlavní autor: Alpay, Daniel
Další autoři: Kirstein, Bernd (Editor, Šéfredaktor, odpovědný redaktor), Alpay, Daniel, 1956- (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Basel : Springer Basel [20..].
Cham : Springer Nature
Vydání:1st ed. 2012.
Edice:Linear Operators and Linear Systems 226
On-line přístup:Accès sur la plateforme de l'éditeur
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Poznámka: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Interpolation, Schur functions and moment problems II, Daniel Alpay, Bernd Kirstein, editors, Basel, Birkhäuser, Springer, 2012, 1 vol. (300 p.), Operator theory : advances and applications, 978-3-0348-0427-1
• Interpolation, Schur Functions and Moment Problems II, Texte imprimé, 9783034804295
• Interpolation, Schur Functions and Moment Problems II, Texte imprimé, 9783034807425
• Interpolation, Schur functions and moment problems II, Daniel Alpay, Bernd Kirstein, editors, Basel, Birkhäuser, Springer, 2012, 1 vol. (300 p.), Operator theory : advances and applications, 978-3-0348-0427-1
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520 |a 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. 
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