Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-24T02:45:40.560Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Pollard, S., Proc. Camb. Phil. Soc., 23 (1926), 373–382.CrossRefGoogle Scholar

* Young, W. H., Quart. Journal of Maths., 43 (1912), 161–177.Google Scholar

* Young, W. H., Quart. Journal of Maths., 43 (1912), 166, 170.Google Scholar

* Young, W. H., Quart. Journal of Maths., 43 (1912), 166.Google Scholar

* Hobson, E. W., Theory of functions of a real variable, Vol. 2, 682.Google Scholar

* Titchmarsh, E. C., Proc. Lond. Math. Soc., 22 (1924), Records XXV.Google Scholar