Harmonic Analysis On Hilbert Space

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Harmonic Analysis On Hilbert Space

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Author : Leonard Gross
language : en
Publisher: American Mathematical Soc.
Release Date : 1963

Harmonic Analysis On Hilbert Space written by Leonard Gross and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Harmonic analysis categories.

Harmonic Analysis Of Operators On Hilbert Space

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Author : Béla Sz Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-26

Harmonic Analysis Of Operators On Hilbert Space written by Béla Sz Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-26 with Mathematics categories.

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 Of Operators On Hilbert Space

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Author : Béla Szőkefalvi-Nagy
language : en
Publisher: Elsevier Science & Technology
Release Date : 1970

Harmonic Analysis Of Operators On Hilbert Space written by Béla Szőkefalvi-Nagy and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.

Harmonic Analysis Of Operators On Hilbert Space

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Author : Béla Sz Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-01

Harmonic Analysis Of Operators On Hilbert Space written by Béla Sz Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with Mathematics categories.

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 Of Operators On Hilbert Space

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Author : B. Sz.-nagy
language : en
Publisher:
Release Date :

Harmonic Analysis Of Operators On Hilbert Space written by B. Sz.-nagy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Harmonic Analysis On Hilbert Space

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Author : Leonard Gross (wiskunde.)
language : en
Publisher:
Release Date : 1963

Harmonic Analysis On Hilbert Space written by Leonard Gross (wiskunde.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Harmonic analysis categories.

A Basis Theory Primer

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Author : Christopher Heil
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-03

A Basis Theory Primer written by Christopher Heil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-03 with Mathematics categories.

This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.

A First Course In Harmonic Analysis

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Author : Anton Deitmar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A First Course In Harmonic Analysis written by Anton Deitmar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

This book is intended as a primer in harmonic analysis at the un dergraduate level. All the central concepts of harmonic analysis are introduced without too much technical overload. For example, the book is based entirely on the Riemann integral instead of the more demanding Lebesgue integral. Furthermore, all topological questions are dealt with purely in the context of metric spaces. It is quite sur prising that this works. Indeed, it turns out that the central concepts theory can be explained using very little of this beautiful and useful technical background. The first aim of this book is to give a lean introduction to Fourier analysis, leading up to the Poisson summation formula. The sec ond aim is to make the reader aware of the fact that both principal incarnations of Fourier Theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.

Harmonic Analysis On Symmetric Spaces And Applications I

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Author : Audrey Terras
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Harmonic Analysis On Symmetric Spaces And Applications I written by Audrey Terras and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Since its beginnings with Fourier (and as far back as the Babylonian astron omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course.

Harmonic Analysis

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Author : Carl L. DeVito
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2007

Harmonic Analysis written by Carl L. DeVito and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Advanced Mathematics