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Fourier transforms in the complex domain

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 Münz and Szász conce...

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Detalles Bibliográficos
Autores principales: Wiener, N, Paley, R C
Lenguaje:eng
Publicado: American Mathematical Society 1934
Materias:
Acceso en línea:http://cds.cern.ch/record/2269657
Descripción
Sumario: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 Münz and Szász 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,