# Harmonic Analysis: Second Edition

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*Henry Helson*

A publication of Hindustan Book Agency

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 Szegö, 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.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

#### Readership

Graduate students and research mathematicians interested in harmonic analysis.

#### Reviews & Endorsements

...this volume can be an excellent way to get one's feet wet and see whether it is worthwhile to take the plunge. The book has helpful and challenging exercises for the reader. It should be emphasized that the great strength of the book lies in the large number of interesting special results it contains. Many of the prettiest facts of harmonic analysis are on display here in a very attractive setting.

-- Bulletin of the American Mathematical Society