Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup (Q1008549)
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scientific article; zbMATH DE number 5534772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup |
scientific article; zbMATH DE number 5534772 |
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Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup (English)
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30 March 2009
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The image of the weighted \(L^{p}(\mathbb R^{n})\) space under the Hermite polynomial semigroup \(\{e^{-t\mathbb H}: t>0\}\) is investigated. A necessary and sufficient condition is obtained for the image of the weighted \(L^{2}(\mathbb R^{n})\) space.
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Hermite polynomial
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Hermite semigroup
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Hermite Bargmann transform
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0.9113923
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0.8641448
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0.85547227
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0.8409776
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