  The canonical operator quantisation formulation corresponding to the
Klauder-Daubechies construction of the phase space path integral is considered.
This formulation is explicitly applied and solved in the case of the harmonic
oscillator, thereby illustrating in a manner complementary to Klauder and
Daubechies' original work some of the promising features offered by their
construction of a quantum dynamics. The Klauder-Daubechies functional integral
involves a regularisation parameter eventually taken to vanish, which defines a
new physical time scale. When extrapolated to the field theory context, besides
providing a new regularisation of short distance divergences, keeping a finite
value for that time scale offers some tantalising prospects when it comes to
strong gravitational quantum systems.
