Integral formulas for the Weyl and anti-Wick symbols (Q2274105)
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| Language | Label | Description | Also known as |
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| English | Integral formulas for the Weyl and anti-Wick symbols |
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Integral formulas for the Weyl and anti-Wick symbols (English)
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19 September 2019
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A sufficient condition for a bounded operators in \(L_2(\mathbb R^n)\) are proposed that guarantee the boundedness and continuity of the Weyl (resp. anti-Wick) symbol on \(\mathbb R^{2n}\). Explicit formulas for the Weyl and anti-Wick symbols are given. Also these symbols are written with an expression comparable to the Campbell-Hausdorff formula. A result specific to the finite dimension, close to the Beals characterization theorem is given.
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pseudo-differential operators
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Weyl symbol
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anti-Wick symbol
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Beals characterization
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