Metric Constrained Interpolation, Commutant Lifting and Systems

Language: English

Published by Birkhäuser Basel, 2012

3034897758 / 9783034897754

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This book presents a unified approach for solving both stationary and nonstationary interpolation problems, in finite or infinite dimensions, based on the commutant lifting theorem from operator theory and the state space method from mathematical system theory. Initially the authors planned a number of papers treating nonstationary interpolation problems of Nevanlinna-Pick and Nehari type by reducing these nonstationary problems to stationary ones for operator-valued functions with operator arguments and using classical commutant lifting techniques. This reduction method required us to review and further develop the classical results for the stationary problems in this more general framework. Here the system theory turned out to be very useful for setting up the problems and for providing natural state space formulas for describing the solutions. In this way our work involved us in a much wider program than original planned. The final results of our efforts are presented here. The financial support in 1994 from the 'NWO-stimulansprogramma' for the Thomas Stieltjes Institute for Mathematics in the Netherlands enabled us to start the research which lead to the present book. We also gratefully acknowledge the support from our home institutions: Indiana University at Bloomington, Purdue University at West Lafayette, Tel-Aviv University, and the Vrije Universiteit at Amsterdam. We warmly thank Dr. A.L. Sakhnovich for his carefully reading of a large part of the manuscript. Finally, Sharon Wise prepared very efficiently and with great care the troff file of this manuscript; we are grateful for her excellent typing.

Seller Inventory # 9783034897754

Title
Metric Constrained Interpolation, Commutant Lifting and Systems
Author
C. Foias
Publisher
Birkhäuser Basel
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3034897758
ISBN 13
9783034897754
Item weight
902 grams
Dimensions
235x155x33 mm

AHA-BUCH GmbH

Einbeck, Germany

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