Series: Mathematical Surveys and Monographs. Num Pages: 461 pages. BIC Classification: PBKD; PBMP; UYA; UYD. Category: (P) Professional & Vocational. . . 2010. Paperback. . . . .

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Bibliographic Details

Title

Operators, Functions, and Systems: An Easy Reading (Mathematical Surveys and Monographs)

Publisher

American Mathematical Society

Publication Date

2010

Language

English

ISBN 10

0821849336

ISBN 13

9780821849330

Binding

Soft cover

Condition

New

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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 Carath�odory 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.

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