A note on Howe's oscillator semigroup (Q1121506)
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scientific article; zbMATH DE number 4103797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Howe's oscillator semigroup |
scientific article; zbMATH DE number 4103797 |
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A note on Howe's oscillator semigroup (English)
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1989
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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the \(L^ 2({\mathbb{R}}^ n)\) and the Bargmann-Fock realisations by Howe and Brunet-Kramer, respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
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analytic extensions of the metaplectic representation by integral operators of Gaussian type
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Bargmann-Fock realisation
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semigroups of operators
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intertwining operator
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