Fourier Transforms in the Complex Domain (COLLOQUIUM PUBLICATIONS (AMER MATHEMATICAL SOC)) - Softcover

Raymond E. A. C. Paley And Norbert Wiener

Softcover

ISBN 10: 0821810197 ISBN 13: 9780821810194

Publisher: American Mathematical Society, 1934

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1934
• Language: English
• ISBN 10: 0821810197
• ISBN 13: 9780821810194
• Binding: Paperback
• Number of pages: 183