  We extend constructions of classical Clifford analysis to the case of
indefinite non-degenerate quadratic forms. We define (p,q)-left- and
right-monogenic functions by means of Dirac operators that factor a certain
wave operator. We prove two different versions of Cauchy's integral formulas
for these functions. The two formulas arise from dealing with singularities in
distinct ways, and are inspired by the methods of [L, FL]. These results
indicate the merit of these methods for dealing with singularities.
