Description

Book Synopsis
With the aid of Fourier-Mellin transforms as a tool in analysis, this book presents such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, and the theorems of Munz and Szasz concerning the closure of sets of powers of an argument.

Table of Contents
Introduction Quasi-analytic functions Szasz'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 Non-harmonic Fourier series and a gap theorem Generalized harmonic analysis in the complex domain The harmonic analysis of random functions Bibliography Index.

Fourier Transforms in the Complex Domain

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Fourier Transforms in the Complex Domain by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 01/01/1939
      ISBN13: 9780821810194, 978-0821810194
      ISBN10:

      Description

      Book Synopsis
      With the aid of Fourier-Mellin transforms as a tool in analysis, this book presents such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, and the theorems of Munz and Szasz concerning the closure of sets of powers of an argument.

      Table of Contents
      Introduction Quasi-analytic functions Szasz'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 Non-harmonic Fourier series and a gap theorem Generalized harmonic analysis in the complex domain The harmonic analysis of random functions Bibliography Index.

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