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A case of distinction between Fourier integrals and Fourier series

Published online by Cambridge University Press:  24 October 2008

Margaret Eleanor Grimshaw
Margaret Eleanor Grimshaw
Affiliation:
Newnham College
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 7 , July 1927 , pp. 755 - 767
Copyright
Copyright © Cambridge Philosophical Society 1927

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References

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