The Resultant of Two Fourier Kernels
Published online by Cambridge University Press: 24 October 2008
Extract
1. A “Fourier kernel” means here a function K(x) which gives rise to a formula
of the Fourier type. Thus
are Fourier kernels. If K(x) is a Fourier kernel, λ is real, and a positive, then
are Fourier kernels.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 31 , Issue 1 , January 1935 , pp. 1 - 6
- Copyright
- Copyright © Cambridge Philosophical Society 1935
References
REFERENCES
(1)Hardy, G. H., “Notes on some points in the integral calculus (LXIII)”, Messenger of Math. 56 (1927), 186–92.Google Scholar
(2)Hardy, G. H. and Titchmarsh, E. C., “A class of Fourier kernels”, Proc. London Math. Soc. (2), 35 (1933), 116–55.CrossRefGoogle Scholar
(3)Plancherel, M., “Sur les formules de réciprocité du type de Fourier”, Journal London Math. Soc. 8 (1933), 220–26.Google Scholar
(4)Titchmarsh, E. C., “A proof of a theorem of Watson”, Journal London Math. Soc. 8 (1933), 217–20.CrossRefGoogle Scholar
(6)Watson, G. N., “General transforms”, Proc. London Math. Soc. (2), 35 (1933), 156–99.Google Scholar
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