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Harmonic conjugation in L1 on compact abelian groups

Published online by Cambridge University Press:  24 October 2008

Nakhl Asmar ,
Saleem Watson  and
Saleem Watson
Nakhl Asmar
Affiliation:
Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211, U.S.A.
Saleem Watson
Affiliation:
Department of Mathematics, California State University, Long Beach, California 90840, U.S.A.
Saleem Watson
Affiliation:
Department of Mathematics, California State University, Long Beach, California 90840, U.S.A.
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Extract

Let G denote a compact connected abelian group with character group and normalized Haar measure . As a consequence of the duality theorems (11, theorem 2518), is torsion-free and hence can be ordered. That is, there is a sub-semigroup P of such that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 113 - 126
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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