Colloquium Publications 1934; 183 pp; softcover Volume: 19 Reprint/Revision History: twelfth printing 2000 ISBN10: 0821810197 ISBN13: 9780821810194 List Price: US$57 Member Price: US$45.60 Order Code: COLL/19
 With the aid of FourierMellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasianalytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Münz and Szász concerning the closure of sets of powers of an argument, Titchmarsh's theory of entire functions of semiexponential 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. Table of Contents  Introduction
 Quasianalytic functions
 Szász's theorem
 Certain integral expansions
 A class of singular integral equations
 Entire functions of the exponential type
 The closure of sets of complex exponential functions
 Nonharmonic Fourier series and a gap theorem
 Generalized harmonic analysis in the complex domain
 The harmonic analysis of random functions
 Bibliography
 Index
