The Weyl transform of distributions
- 1 June 1976
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (6) , 859-862
- https://doi.org/10.1063/1.522997
Abstract
The Weyl transform is defined rigorously on the twisted product algebra of c∞ functions slowly increasing at ∞. The image set under the Weyl rule of correspondence is shown to contain linear unbounded operators. In particular, the momentum and the coordinate operators P and Q and the polynomial functions of P and Q are included.Keywords
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