Éléments de Cohen de \(L^ 1({\mathbb R}_ +)\). (Cohen elements of \(L^ 1({\mathbb R}_ +))\) (Q1070159)
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scientific article; zbMATH DE number 3933727
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Éléments de Cohen de \(L^ 1({\mathbb R}_ +)\). (Cohen elements of \(L^ 1({\mathbb R}_ +))\) |
scientific article; zbMATH DE number 3933727 |
Statements
Éléments de Cohen de \(L^ 1({\mathbb R}_ +)\). (Cohen elements of \(L^ 1({\mathbb R}_ +))\) (English)
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1987
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On montre dans cet article que le semi-groupe continu \((u^ t)_{t>0}\), défini par \(u^ t(x)=x^{t-1} e^{-x}/\Gamma (t)\) \((x>0)\), de l'algèbre de convolution \(L^ 1({\mathbb{R}}_+)\) est constitué par des éléments de Cohen de \(L^ 1({\mathbb{R}}_+)\).
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Cohen elements
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convolution algebra
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continuous one-parameter semigroups
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