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Operators, functions, and systems: an easy reading. Vol. 1 by Nikolʹskiĭ, N. K.; Hartmann, Andreas is a nonfiction available to read on EtoBox.

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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 re

Who reads Operators, functions, and systems: an easy reading. Vol. 1?

Author

Nikolʹskiĭ, N. K.; Hartmann, Andreas

Publisher

American Mathematical Society

Published

2002

Language

EN

ISBN

9780821828762

Category

nonfiction

Subjects

Mathematics, Stem

Updated

2026-03-25