Iterates of a convolution on a non abelian group

S. R. Foguel

Displaying similar documents to “Iterates of a convolution on a non abelian group”

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Shmuel Glasner (1976)

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On the $L^{p}$ -space of a locally compact group

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A characterization of the invertible measures

A. Ülger (2007)

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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.

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Artiaga, Lucio, Takahashi, Shuichi (1972)

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Differentiation of measures.

Ricardo Faro Rivas, Juan A. Navarro, Juan Sancho (1994)

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Fubini’s Theorem on Measure

Noboru Endou (2017)

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The purpose of this article is to show Fubini’s theorem on measure [16], [4], [7], [15], [18]. Some theorems have the possibility of slight generalization, but we have priority to avoid the complexity of the description. First of all, for the product measure constructed in [14], we show some theorems. Then we introduce the section which plays an important role in Fubini’s theorem, and prove the relevant proposition. Finally we show Fubini’s theorem on measure.

Product Pre-Measure

Noboru Endou (2016)

Formalized Mathematics

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In this article we formalize in Mizar [5] product pre-measure on product sets of measurable sets. Although there are some approaches to construct product measure [22], [6], [9], [21], [25], we start it from σ-measure because existence of σ-measure on any semialgebras has been proved in [15]. In this approach, we use some theorems for integrals.

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Louis Pigno, Sadahiro Saeki (1981)

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Michael Lin, Rainer Wittmann (1996)

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Problems of Number and Measure

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