The Fourier integral and certain of its applications
著者
書誌事項
The Fourier integral and certain of its applications
（Cambridge mathematical library）
Cambridge University Press, 1988
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The Fourier integral & certain of its applications
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注記
First published 1933
"Reissued with foreword in the Cambridge Mathematical Library series"--T.p. verso
Bibliography: p. [200]-201
内容説明・目次
内容説明
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.
目次
- 1. Plancherel's Theorem
- 2. The General Tauberian Theorem
- 3. Special Tauberian Theorums
- 4. Generalized Harmonic Analysis.
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