A note on the support of right invariant measures.
Tserpes, N.A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Tserpes, N.A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Tserpes, N.A. (1990)
International Journal of Mathematics and Mathematical Sciences
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Piotr Zakrzewski (1997)
Colloquium Mathematicae
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Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits...
Arunava Mukherjea (1971)
Annales de l'institut Fourier
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Choquet and Deny considered on an abelian locally compact topological group the representation of a measure as the convolution product of itself and a finite measure . In this paper, we make an attempt to find, in the case of certain locally compact semigroups, those solutions of the above equation which are relatively invariant on the support of . A characterization of relatively invariant measures on certain locally compact semigroups is also presented. Our results...
Ka-Sing Lau, Wei-Bin Zeng (1990)
Studia Mathematica
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John Bergman, Neal Rothman (1969)
Studia 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.
Kharazishvili, A.B. (1997)
Journal of Applied Analysis
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Štefan Schwarz (1964)
Czechoslovak Mathematical Journal
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