A note on analytic measures

Let G be a compact Abelian group with character group X. Let S be a subset of X such that, for some real-valued homomorphism ψ on X, the set S⋂ψ−1(]−∞,ψ(χ)]) is finite for all χ in X. Suppose that μ is a measure in M(G) such that μˆ vanishes off of S, then μ is absolutely continuous with respect to...

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Bibliographic Details
Main Author: Nakhle Asmar
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000266
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