A case of distinction between Fourier integrals and Fourier series
- 1 July 1927
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 23 (7) , 755-767
- https://doi.org/10.1017/s0305004100015541
Abstract
A Fourier integral is said to be of finite type if its generating function vanishes for all sufficiently large values of ¦x¦. Because the coefficient functions are defined by integrals over a finite range, the behaviour of such a Fourier integral usually resembles closely that of the corresponding series.This publication has 1 reference indexed in Scilit:
- The Summation of a Fourier Integral of Finite TypeMathematical Proceedings of the Cambridge Philosophical Society, 1926