Book Description
With the aid of Fourier-Mellin transforms as a tool in analysis,the authors were able to attack such diverse analytic questionsas those of quasi-analytic functions, Mercer's theorem onsummability, Milne's integral equation of radiative equilibrium,the theorems of Münz and Szász concerning theclosure of sets of powers of an argument, Titchmarsh's theory ofentire functions of semi-exponential type with real negativezeros, trigonometric interpolation and developments inpolynomials of the form $\sum^N_1A_ne^{i\lambda_nx}$, lacunaryseries, generalized harmonic analysis in the complex domain, thezeros of random functions, and many others. ... Read more