期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1990
卷号：13
DOI：10.1155/S0161171290000266
出版社：Hindawi Publishing Corporation
摘要：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 the Haar measure on G.
