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An elementary proof of part of a classical conjecture

Published online by Cambridge University Press:  17 April 2009

R. J. Gaudet  and
J. L. B. Gamlen
R. J. Gaudet
Affiliation:
The University of Alberta, Edmonton, Canada.
J. L. B. Gamlen
Affiliation:
The University of Alberta, Edmonton, Canada.
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Abstract

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An elementary proof is given for the Lp conjecture, p > 2, which states that for a locally compact group G, Lp (G) (p > 2) is closed under convolution if and only if G is compact.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 3 , December 1970 , pp. 289 - 292
Copyright
Copyright © Australian Mathematical Society 1970

References

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