By Raymond E. A. C. Paley and Norbert Wiener

By way of Fourier-Mellin transforms as a device in research, the authors have been in a position to assault such various analytic questions as these of quasi-analytic services, Mercer's theorem on summability, Milne's essential equation of radiative equilibrium, the theorems of Munz and Szasz in regards to the closure of units of powers of an issue, Titchmarsh's conception of whole services of semi-exponential style with actual detrimental zeros, trigonometric interpolation and advancements in polynomials of the shape $\sum^N_1A_ne^{i\lambda_nx}$, lacunary sequence, generalized harmonic research within the advanced area, the zeros of random capabilities, and so on.

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Extra resources for Fourier Transforms in the Complex Domain (Colloquium Publications)

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