Harmonic Analysis

  • Authors
  • Henry¬†Helson

Part of the Texts and Readings in Mathematics book series (volume 7)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Henry Helson
    Pages 1-52
  3. Henry Helson
    Pages 53-78
  4. Henry Helson
    Pages 79-104
  5. Henry Helson
    Pages 105-142
  6. Henry Helson
    Pages 143-180
  7. Henry Helson
    Pages 181-204
  8. Henry Helson
    Pages 205-218
  9. Back Matter
    Pages 219-229

About this book


This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics.

Bibliographic information

  • DOI
  • Copyright Information Hindustan Book Agency (India) 2010
  • Publisher Name Hindustan Book Agency, Gurgaon
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-93-80250-05-2
  • Online ISBN 978-93-86279-47-7
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • Buy this book on publisher's site