H-cones of excessive measures on a locally compact semigroup (Q369625)
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scientific article; zbMATH DE number 6209122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | H-cones of excessive measures on a locally compact semigroup |
scientific article; zbMATH DE number 6209122 |
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H-cones of excessive measures on a locally compact semigroup (English)
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19 September 2013
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The purpose of this paper is to extend the results of \textit{M. Banulescu} [Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 25(73), 227--239 (1981; Zbl 0481.60012)] from locally compact groups to locally compact semigroups (not necessarily endowed with translation-invariant measures). The main result of this paper is the fact that the set of all excessive measures with respect to a convolution semigroup is an \(H\)-cone of measures.
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locally compact semigroup
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convolution semigroup
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excessive measures
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\(H\)-cones
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