Fourier Transforms in the Complex Domain

Fourier Transforms in the Complex Domain
Author :
Publisher : American Mathematical Soc.
Total Pages : 196
Release :
ISBN-10 : 9780821810194
ISBN-13 : 0821810197
Rating : 4/5 (197 Downloads)

Book Synopsis Fourier Transforms in the Complex Domain by : Raymond Edward Alan Christopher Paley

Download or read book Fourier Transforms in the Complex Domain written by Raymond Edward Alan Christopher Paley and published by American Mathematical Soc.. This book was released on 1934-12-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the aid of Fourier-Mellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Munz and Szasz concerning the closure of sets of powers of an argument, Titchmarsh's theory of entire functions of semi-exponential type with real negative zeros, trigonometric interpolation and developments in polynomials of the form $\sum^N_1A_ne^{i\lambda_nx}$, lacunary series, generalized harmonic analysis in the complex domain, the zeros of random functions, and many others.


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1 Preliminary results. Integral transforms in the complex domain.- 1.1 Introduction.- 1.2 Some identities.- 1.3 Integral representations and asymptotic formulas