Displaying similar documents to “A uniqueness property for measures on C n ”

Limits of inverse systems of measures

J. D. Mallory, Maurice Sion (1971)

Annales de l'institut Fourier

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In this paper the problem of the existence of an inverse (or projective) limit measure μ ' of an inverse system of measure spaces ( X i , μ i ) is approached by obtaining first a measure μ ˜ on the whole product space ∏ i ∈ I X i . The measure μ ˜ will have many of the properties of a limit measure provided only that the measures μ i possess mild regularity properties. It is shown that μ ' can only exist when μ ˜ is itself a “limit” measure in a more general sense, and that μ ' must then be the restriction...

Which Bernoulli measures are good measures?

Ethan Akin, Randall Dougherty, R. Daniel Mauldin, Andrew Yingst (2008)

Colloquium Mathematicae

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For measures on a Cantor space, the demand that the measure be "good" is a useful homogeneity condition. We examine the question of when a Bernoulli measure on the sequence space for an alphabet of size n is good. Complete answers are given for the n = 2 cases and the rational cases. Partial results are obtained for the general cases.

A characterization of the invertible measures

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.

Singular measures and the key of G.

Stephen M. Buckley, Paul MacManus (2000)

Publicacions Matemàtiques

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We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a G set of full Lebesgue measure.