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Fourier-Stieltjes Transforms which vanish at infinity off certain sets

Published online by Cambridge University Press:  18 May 2009

Louis Pigno
Louis Pigno
Affiliation:
Kansas State University, Manhattan, Kansas 66506, U.S.A.
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In this paper G is a nondiscrete compact abelian group with character group Г and M(G) the usual convolution algebra of Borel measures on G. We designate the following subspaces of M(G) employing the customary notations: Ma(G) those measures which are absolutely continuous with respect to Haar measure; MS(G) the space of measures concentrated on sets of Haar measure zero and Md(G) the discrete measures.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 1 , January 1978 , pp. 49 - 56
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

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