On the distributions corresponding to bounded operators in the Weyl quantization
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- Daubechies, I. Commun.Math. Phys. (1980) 75: 229. doi:10.1007/BF01212710
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Using properties of an integral transform giving directly the matrix elements of a quantum mechanical operator from the corresponding classical function, we restrict the class of distributions corresponding to bounded operators. As a consequence, we can exhibit a class of functions yielding trace-class operators, and give a bound on their trace-norm.