On two notions of independent functions
B. Jessen (1948)
Colloquium Mathematicae
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B. Jessen (1948)
Colloquium Mathematicae
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Ricardo Faro Rivas, Juan A. Navarro, Juan Sancho (1994)
Extracta Mathematicae
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Schaerf, H.M. (1951)
Portugaliae mathematica
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A. Ülger (2007)
Studia Mathematica
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Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.
Larsen, R. (1967)
Portugaliae mathematica
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Yoshihiro Kubokawa (1995)
Czechoslovak Mathematical Journal
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Artiaga, Lucio, Takahashi, Shuichi (1972)
Portugaliae mathematica
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Antonio Martinón (1989)
Extracta Mathematicae
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Richard Bumby, Erik Ellentuck (1969)
Fundamenta Mathematicae
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