  By means of a new mod(N)-invariant operator basis, s-parametrized phase-space
functions associated with bounded operators in a finite-dimensional Hilbert
space are introduced in the context of the extended Cahill-Glauber formalism,
and their properties are discussed in details. The discrete Glauber-Sudarshan,
Wigner, and Husimi functions emerge from this formalism as specific cases of
s-parametrized phase-space functions where, in particular, a hierarchical
process among them is promptly established. In addition, a phase-space
description of quantum tomography and quantum teleportation is presented and
new results are obtained.
