This book should be of interest to post-graduates on courses in harmonic analysis.

Harmonic Analysis

Science & Math

Helson, Henry

Mathematics

Addison-Wesley

The reader is assumed to know the elementary part of complex funCtion theory, general topology, integration, and linear spaces. All the needed information is contained in a usual first-year graduate course on analysis. These prerequisites are modest but essential. To be sure there is a big gap between learning the Banach-Steinhaus theorem, for example, and applying it to a real problem. Filling that gap is one of the objectives of this book. It is a natural objective, because integration theory and functional analysis to a great extent developed in response to the problems of Fourier series! The exposition has been condensed somewhat by relegating proofs of some technical points to the problem sets. Other problems give results that are needed in subsequent sections; and many problems simply present interesting results of the subject that are not otherwise covered. Problems range in difficulty from very simple to very hard. The system of numeration is simple: Sec. 3. 2 is the second section of Chapter 3. The second section of the current chapter is Sec. 2. Formula (3. 2) is the second formula of Sec. 3, of the current chapter unless otherwise mentioned. With pleasure I record the debt to my notes from a course on Real Variables given by R. Salem in 1945. I wish to thank R. Fefferman, Y. Katznelson, and A. 6 Cairbre for sympathetic criti cism of the manuscript. Mr. Carl Harris of the Addison-Wesley Publishing Company has been most helpful in bringing the book to publication.

Harmonic Analysis (The Wadsworth & Brooks/Cole Mathematics Series)

Springer

A succinct but complete text for upper division students through the Jordan canonical form, with a new chapter on matrix factoring theorems needed in Numerical Analysis.

Linear algebra

Holden-Day

Linear Algebra

Henry Helson

The freshman calculus course presented correctly, plus complex power series and a final chapter on poles and zeros of rational functions.

Honors Calculus

Classical Fourier analysis for graduate students, from the beginning to modern work. This second edition has a chapter on duality between compact and discrete abelian groups and a full treatment of Bochner's theorem.

Lectures on Invariant Subspaces

Physics

Academic Press

Multiplicity of spectral measures.- The spectral theorem.- Bochner's theorem.- Distribution of cocycles.- Cocycles on the line.

The Spectral Theorem (Lecture Notes in Mathematics, 1227)

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Books by Helson, Henry

See the best price to sell, buy, or rent books by Helson, Henry. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Harmonic Analysis

Harmonic Analysis (The Wadsworth & Brooks/Cole Mathematics Series)

Linear algebra

Linear Algebra

Honors Calculus

Harmonic Analysis

Lectures on Invariant Subspaces

The Spectral Theorem (Lecture Notes in Mathematics, 1227)