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Fourier transforms and the operator Hα

Published online by Cambridge University Press:  24 October 2008

G. O. Okikiolu
G. O. Okikiolu
Affiliation:
The University of Sussex
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Abstract

This is one of a number of papers in which the author studies the properties of the transform Hα(f) and allied operators. In this case, identities involving these operators and the Fourier transform are obtained, and these are applied in giving alternative proofs to certain inversion processes derived by the author elsewhere.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 1 , January 1966 , pp. 73 - 78
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Hardy, G. H., Littlewood, J. E. and Pólya, G.Inequalities (Cambridge, 1934).Google Scholar
(2)Okikiolu, G. O.A generalisation of the Hilbert transform. London J. Math. Soc. 40 (1965), 27–30.CrossRefGoogle Scholar
(3)Titchmarsh, E. C.The theory of Fourier integrals (Oxford, 1937).Google Scholar