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On integral operators associated with Poisson transforms and the operator Hα

Published online by Cambridge University Press:  09 April 2009

G. O. Okikiolu
G. O. Okikiolu
Affiliation:
Mathematics Division University of Sussex, Brighton, England and University of East Anglia Norwich
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In this paper we study certain operators allied to the Poisson operator and the transforms Hα(f) considered by the author in [2]. We define the integrals ψ(α)α(f) and θ(α)a(f) as follows:

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 3 , August 1966 , pp. 263 - 272
Copyright
Copyright © Australian Mathematical Society 1966

References

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[3]Okikiolu, G. O., Fourier transforms and the operator H'α, Proc. Cambridge Phil. Soc. 62 (1966) 73–78.Google Scholar
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