Weyl transforms associated with the Riemann-Liouville operator

In his book [14], Wong studies the properties of pseudodifferential operators arising in quantummechanics, first envisaged byWeyl [13], as bounded linear operators on L2(Rn) (the space of square integrable functions on Rn with respect to the Lebesgue measure). For this reason, M. W. Wong calls the operators treated in his book Weyl transforms. Here, we consider the singular partial differential operators