Summation of Trigonometric Series By Fourier Transforms

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Chien Wei-zang. Summation of Trigonometric Series By Fourier Transforms[J]. Applied Mathematics and Mechanics, 1989, 10(5): 371-383.

Citation:

Chien Wei-zang. Summation of Trigonometric Series By Fourier Transforms[J]. Applied Mathematics and Mechanics, 1989, 10(5): 371-383.

Citation:

Chien Wei-zang. Summation of Trigonometric Series By Fourier Transforms[J]. Applied Mathematics and Mechanics, 1989, 10(5): 371-383.

Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Abstract

This paper gives the theorems concerning the summation of trigonometric series with the help of Fourier transforms.By means of the known results of Fourier transforms,many difficult and complex problems of summation of trigonometric series can be solved.This method is a comparatively unusual way to find the summation of trigonometric series,and has been used to establish the comprehensive table of summation of trigonometric series.In this table 10 thousand scries arc given,and most of them are new.

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