The heat equation for the generalized Hermite and the generalized Landau operators (Q989935)
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scientific article; zbMATH DE number 5774242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The heat equation for the generalized Hermite and the generalized Landau operators |
scientific article; zbMATH DE number 5774242 |
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The heat equation for the generalized Hermite and the generalized Landau operators (English)
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23 August 2010
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Stimulated by the paper [\textit{M. W. Wong}, Hokkaido Math. J. 34, No.~2, 393--404 (2005; Zbl 1084.35027)], the author gives a representation of the strongly continuous semigroups generated by a class of generalized Hermite operators. A similar result is also given for the strongly continuous semigroups generated by some generalized Landau operators based on the work [\textit{M. A. de Gosson}, Commun. Partial Differ. Equations 33, No.~11, 2096--2104 (2008; Zbl 1159.35077)].
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generalized Hermite operators
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generalized Landau operatorsWeyl transform
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Fourier-Wigner transform
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Wigner transform
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one-parameter strongly continuous semigroup
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