Continuity statements and counterintuitive examples in connection with Weyl quantization

We use the properties of an integral transform relating a classical function f with the matrix elements between coherent states of its quantal counterpart Q f, to derive continuity properties of the Weyl transform from classes of distributions to classes of quadratic forms. We also give examples of pathological behavior of the Weyl transform with respect to other topologies (e.g., bounded functions leading to unbounded operators). © 1983 American Institute of Physics.

Duke Scholars

Author Ingrid Daubechies Mathematics