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Operators, Functions, and Systems: An Easy Reading. Hardy, Hankel, and Toeplitz vol.1 by Nikolskii N.K. is a nonfiction available to read on EtoBox.

What is Operators, Functions, and Systems: An Easy Reading. Hardy, Hankel, and Toeplitz vol.1 about?

This unique work combines together in two volumes four formally distinct 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, Volume 1, contains Parts A and B; Volume 2, Model Operators and Systems, contains Parts C and D. Hardy classes of holomorphic functions: This topic is known to be the most powerful tool of 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: These now become the supporting pillars 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. Function models for linear operators and free interpolations: This is a universal topic and, ind

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Author

Nikolskii N.K.

Publisher

American Mathematical Society

Published

2002

Language

EN

ISBN

9780821828762

Category

nonfiction

Subjects

Mathematics, Operator Theory, Stem