The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems. The influence of G. H. Hardy is apparent from the presence of an application of the theory to the prime number theorems of Hadamard and de la Vallee Poussin. Both pure and applied mathematicians will welcome the reissue of this classic work. For this reissue, Professor Kahane's Foreword briefly describes the genesis of Wiener's work and its later significance to harmonic analysis and Brownian motion.
--This text refers to an alternate
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Editorial Reviews
Book Description
The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems.
--This text refers to an alternate
Paperback
edition.
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65
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- Probability Theory - Philosophy, Recent History and Relations to Science (Synthese Library, Volume 297) by Vincent F. Hendricks on page 18, and page 49
- Signal Analysis: Time, Frequency, Scale, and Structure by Ronald L. Allen on page 263, and page 433
- Cybernetics, Second Edition: or the Control and Communication in the Animal and the Machine by Norbert Wiener on page 53, and page 193
- Sampling, Wavelets, and Tomography (Applied and Numerical Harmonic Analysis) by John J. Benedetto on page 32, and page 81
- Commutative Harmonic Analysis II: Group Methods in Commutative Harmonic Analysis (Encyclopaedia of Mathematical Sciences) by V.P. Havin on page 50, and Back Matter
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