Operators, Functions, and Systems, Volume 1; Hardy, Hankel, and Toeplitz : An Easy Reading

Nikolai K. Nikolski

ISBN 10: 0821849336 / ISBN 13: 9780821849330

Published by American Mathematical Society Jan 2002, 2002

About this Item

Neuware - This unique work combines four major topics of modern analysis and its applications: Hardy classes of holomorphic functions; Spectral theory of Hankel and Toeplitz operators; Function models for linear operators and free interpolations; and Infinite-dimensional system theory and signal processing.

Seller Inventory # 9780821849330

Bibliographic Details

• Title: Operators, Functions, and Systems, Volume 1; Hardy, Hankel, and Toeplitz : An Easy Reading
• Publisher: American Mathematical Society Jan 2002
• Publication Date: 2002
• Language: English
• ISBN 10: 0821849336
• ISBN 13: 9780821849330
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

Together with the companion volume by the same author, Operators, Functions, and Systems: An Easy Reading. Volume 2: Model Operators and Systems, Mathematical Surveys and Monographs, Vol. 93, AMS, 2002, this unique work combines four major topics of modern analysis and its applications: A. Hardy classes of holomorphic functions, B. Spectral theory of Hankel and Toeplitz operators, C. Function models for linear operators and free interpolations, and D. Infinite-dimensional system theory and signal processing. This volume contains Parts A and B. Hardy classes of holomorphic functions is known to be the most powerful tool in complex analysis for a variety of applications, starting with Fourier series, through the Riemann $\zeta$-function, all the way to Wiener's theory of signal processing. Spectral theory of Hankel and Toeplitz operators becomes the supporting pillar for a large part of harmonic and complex analysis and for many of their applications. In this book, moment problems, Nevanlinna-Pick and Carathéodory interpolation, and the best rational approximations are considered to illustrate the power of Hankel and Toeplitz operators. The book is geared toward a wide audience of readers, from graduate students to professional mathematicians, interested in operator theory and functions of a complex variable. The two volumes develop an elementary approach while retaining an expert level that can be applied in advanced analysis and selected applications. Readership Graduate students and research mathematicians interested in analysis.