Topics in interpolation theory
By: edited by H. Dym ... [et al.].
Series: Operator theory, advances and applications -- vol. 95; Operator theory, advances and applications -- v. 95.
Publisher: Springer
Published: 1997
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 494
ISBN-13: 9783034889445; 9783034898386
Subjects: Numerical analysis; Interpolation
Description: This book is devoted primarily to topics in interpolation for scalar, matrix and operator valued functions. About half the papers are based on lectures which were delivered at a conference held at Leipzig University in August 1994 to commemorate the 80th anniversary of the birth of Vladimir Petrovich Potapov. The volume also contains the English translation of several important papers relatively unknown in the West, two expository papers written especially for this volume, and historical material based on reminiscences of former colleagues, students and associates of V.P. Potapov. Numerous examples of interpolation problems of the Nevanlinna-Pick and Carathéodory-Fejér type are included as well as moment problems and problems of integral representation in assorted settings. The major themes cover applications of the Potapov method of fundamental matrix inequalities, multiplicative decompositions of J-inner matrix valued functions, the abstract interpolation problem, canonical systems of differential equations and interpolation in spaces with an indefinite metric. This book should appeal to a wide range of readers: mathematicians specializing in pure and applied mathematics and engineers who work in systems theory and control. The book will be of use to graduate students and mathematicians interested in functional analysis.
Notes: Softcover reprint of the hardcover 1st edition originally published by Birkhauser Verlag in 1997.

Includes bibliographical references.