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Harmonic Analysis of Operators on Hilbert Space

Harmonic Analysis of Operators on Hilbert Space
Author: Béla Sz Nagy
Publisher: Springer Science & Business Media
Total Pages: 481
Release: 2010-09-01
Genre: Mathematics
ISBN: 1441960937

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The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.


Harmonic Analysis on Hilbert Space

Harmonic Analysis on Hilbert Space
Author: Leonard Gross
Publisher: American Mathematical Soc.
Total Pages: 67
Release: 1963
Genre: Harmonic analysis
ISBN: 0821812467

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Modern Operator Theory and Applications

Modern Operator Theory and Applications
Author: Yakob M. Erusalimskii
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2007-03-06
Genre: Mathematics
ISBN: 3764377372

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This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegö type theorems, the averaging method for nonlinear equations, among others.


Recent Advances in Operator Theory and Related Topics

Recent Advances in Operator Theory and Related Topics
Author: Laszlo Kerchy
Publisher: Springer Science & Business Media
Total Pages: 726
Release: 2001-10-01
Genre: Mathematics
ISBN: 9783764366070

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These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.