Publications [#287114] of Ingrid Daubechies

Papers Published

1. Daubechies, I, On the distributions corresponding to bounded operators in the Weyl quantization, Communications in Mathematical Physics, vol. 75 no. 3 (October, 1980), pp. 229-238, Springer Nature, ISSN 0010-3616 [doi]
   (last updated on 2026/01/14)

   Abstract:
   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. © 1980 Springer-Verlag.