Harmonic Analysis Of Operators On Hilbert Space
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Author | : Béla Sz Nagy |
Publisher | : Springer Science & Business Media |
Total Pages | : 482 |
Release | : 2010-08-26 |
Genre | : Mathematics |
ISBN | : 1441960945 |
Download Harmonic Analysis of Operators on Hilbert Space Book in PDF, Epub and Kindle
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.
Author | : Béla Sz Nagy |
Publisher | : Springer Science & Business Media |
Total Pages | : 481 |
Release | : 2010-09-01 |
Genre | : Mathematics |
ISBN | : 1441960937 |
Download Harmonic Analysis of Operators on Hilbert Space Book in PDF, Epub and Kindle
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.
Author | : Leonard Gross |
Publisher | : American Mathematical Soc. |
Total Pages | : 67 |
Release | : 1963 |
Genre | : Harmonic analysis |
ISBN | : 0821812467 |
Download Harmonic Analysis on Hilbert Space Book in PDF, Epub and Kindle
Author | : Béla Szőkefalvi-Nagy |
Publisher | : |
Total Pages | : 387 |
Release | : 1970 |
Genre | : Harmonic analysis |
ISBN | : |
Download Harmonic Analysis of Operators on Hilbert Space Book in PDF, Epub and Kindle
Author | : B. Sz.-nagy |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : |
Download Harmonic Analysis of Operators on Hilbert Space Book in PDF, Epub and Kindle
Author | : Béla Szőkefalvi-Nagy |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : Harmonic analysis |
ISBN | : |
Download Harmonic analysis of operators on Hilbert space, by B.Sz.-Nagy and C. Foias Book in PDF, Epub and Kindle
Author | : I. M. Gel'fand |
Publisher | : Academic Press |
Total Pages | : 399 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483262243 |
Download Generalized Functions Book in PDF, Epub and Kindle
Generalized Functions, Volume 4: Applications of Harmonic Analysis is devoted to two general topics—developments in the theory of linear topological spaces and construction of harmonic analysis in n-dimensional Euclidean and infinite-dimensional spaces. This volume specifically discusses the bilinear functionals on countably normed spaces, Hilbert-Schmidt operators, and spectral analysis of operators in rigged Hilbert spaces. The general form of positive generalized functions on the space S, continuous positive-definite functions, and conditionally positive generalized functions are also deliberated. This publication likewise considers the mean of a generalized random process, multidimensional generalized random fields, simplest properties of cylinder sets, and definition of Gaussian measures. This book is beneficial to students, specialists, and researchers aiming to acquire knowledge of functional analysis.
Author | : Hermann Schulz-Baldes |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2022-12-27 |
Genre | : Science |
ISBN | : 9783031122002 |
Download Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems Book in PDF, Epub and Kindle
This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.
Author | : Béla Szőkefalvi-Nagy |
Publisher | : |
Total Pages | : 390 |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Nagy and C. Foias Harmonic Analysis of Operators on Hilbert Space Book in PDF, Epub and Kindle
Author | : Béla Szőkefalvi-Nagy |
Publisher | : |
Total Pages | : 387 |
Release | : 1970 |
Genre | : Harmonic analysis |
ISBN | : |
Download Harmonic Analysis of Operators on Hilbert Space, by Bela Sz.-Magy and Ciprian Foias Book in PDF, Epub and Kindle