Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-27T23:33:49.802Z Has data issue: false hasContentIssue false
  • English
  • Français

On fourier transforms of radial functions

Published online by Cambridge University Press:  09 April 2009

James L. Griffith
James L. Griffith
Affiliation:
University of New South Wales and University of Kansas
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Fourier transform F(y) of a function f(t) in L1(Ek) where Ek is the k-dimensional cartesian space will be defined by .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 3 , August 1965 , pp. 289 - 298
Copyright
Copyright © Australian Mathematical Society 1965

References

[1]Bochner, S., Lectures on Fourier Integrals (Princeton, 1959).CrossRefGoogle Scholar
[2]Bochner, S. and Chandrasekharan, K., Fourier Transforms (Princeton, 1949).Google Scholar
[3]Chandrasekharan, K. and Minakshisundaram, S., Typical Means (Tata Institute, Bombay).Google Scholar
[4]Erdelyi, and others, Tables of Integral Transforms (McGraw Hill, New York, 1954).Google Scholar
[5]Stein, E. M.Localisation and summability of Multiple Fourier Series, Acta Math. 100 (1958), 93–147.CrossRefGoogle Scholar
[6]Titchmarsh, E. C., Fourier Integrals (Oxford, 1948).Google Scholar
[7]Watson, G. N., Theory of Bessel Functions (Cambridge, 1952).Google Scholar