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Fourier transforms and harmonic functions

Published online by Cambridge University Press:  09 April 2009

N. Ormerod
Affiliation:
Department of Mathematics University of North South WalesKensington, N.S.W. 2033, Australia
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Abstract

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The purpose of this paper is to present a novel proof of a well-known relationship between functions in harmonic subspaces of L2(Rn) ∪ L1 (Rn) and their Fourier transforms. The proof uses a characterisation of spherical harmonics given by Hecke and a method developed by the author in a previous paper.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984

References

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