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Schur Parameters, Factorization and Dilation Problems: Advances and Applications) - Couverture souple
Synopsis
This book is devoted to the ubiquity of the Schur parameters. A dilation theoretic view leads to a unified perspective on several topics where Schur parameters appear as basic cells. Together with the transmission line, their physical counter- part, they appear in scattering theory, in modeling, prediction and filtering of nonstationary processes, in signal processing, geophysics and system theory. Modeling problems are considered for certain classes of operators, interpolation problems, determinental formulae, as well as connections with certain classes of graphs where, again, the Schur parameters could play a role. Some general algorithms that explore the transmission line are also presented in this book. As a whole, the text is self-contained and it is addressed to people interested in the previously mentioned topics or connections between them.
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Présentation de l'éditeur
This book is devoted to the ubiquity of the Schur parameters. A dilation theoretic view leads to a unified perspective on several topics where Schur parameters appear as basic cells. Together with the transmission line, their physical counter- part, they appear in scattering theory, in modeling, prediction and filtering of nonstationary processes, in signal processing, geophysics and system theory. Modeling problems are considered for certain classes of operators, interpolation problems, determinental formulae, as well as connections with certain classes of graphs where, again, the Schur parameters could play a role. Some general algorithms that explore the transmission line are also presented in this book. As a whole, the text is self-contained and it is addressed to people interested in the previously mentioned topics or connections between them.
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Schur Parameters, Factorization and Dilation Problems: Advances and Applications) (Operator Theory: Advances and Applications)
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Schur Parameters, Factorization and Dilation Problems: Advances and Applications) (Operator Theory: Advances and Applications)
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Schur Parameters, Factorization and Dilation Problems: Advances and Applications) (Operator Theory: Advances and Applications)
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Schur Parameters, Factorization and Dilation Problems (Operator Theory: Advances and Applications)
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Schur Parameters, Factorization and Dilation Problems
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Birkhäuser Basel, Birkhäuser Sep 2011, 2011
ISBN 10 : 3034899106
ISBN 13 : 9783034899109
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The subject of this book is about the ubiquity of the Schur parameters, whose introduction goes back to a paper of I. Schur in 1917 concerning an interpolation problem of C. Caratheodory. What followed there appears to be a truly fascinating story which, however, should be told by a professional historian. Here we provide the reader with a simplified version, mostly related to the contents of the book. In the twenties, thf~ theory of orthogonal polynomials on the unit circle was developed by G. Szego and the formulae relating these polynomials involved num bers (usually called Szego parameters) similar to the Schur parameters. Mean while, R. Nevanlinna and G. Pick studied the theory of another interpolation problem, known since then as the Nevanlinna-Pick problem, and an algorithm similar to Schur's one was obtained by Nevanlinna. In 1957, Z. Nehari solved OO an L problem which contained both Caratheodory-Schur and Nevannlina-Pick problems as particular cases. Apparently unrelated work of H. Weyl, J. von Neu mann and K. Friedericks concerning selfadjoint extensions of symmetric operators was connected to interpolation by M. A. Naimark and M. G Krein using some gen eral dilation theoretic ideas. Classical moment problems, like the trigonometric moment and Hamburger moment problems, were also related to these topics and a comprehensive account of what can be called the classical period has appeared in the monograph of M. G. Krein and A. A. Nudelman, [KN]. 268 pp. Englisch. N° de réf. du vendeur 9783034899109
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Schur Parameters, Factorization and Dilation Problems
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Schur Parameters, Factorization and Dilation Problems
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 268 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 50968421
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Schur Parameters, Factorization and Dilation Problems
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. PRINT ON DEMAND pp. 268. N° de réf. du vendeur 1858591408
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Schur Parameters, Factorization and Dilation Problems
Edité par
Birkhäuser Basel, 2011
ISBN 10 : 3034899106
ISBN 13 : 9783034899109
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1 Schur Parameters and Positive Block Matrices.- 1.1 Preliminaries.- 1.2 Renorming Hilbert Spaces and Elementary Rotations.- 1.3 Kolmogorov Decompositions. I.- 1.4 Row and Column Contractions.- 1.5 The Structure of Positive Definite Kernels.- 1.6 Kolmogorov. N° de réf. du vendeur 4319710
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Schur Parameters, Factorization and Dilation Problems (Operator Theory: Advances and Applications)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. reprint edition. 268 pages. 9.50x6.70x0.70 inches. In Stock. N° de réf. du vendeur x-3034899106
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