  We extend constructions of classical Clifford analysis to the case of
indefinite non-degenerate quadratic forms. Clifford analogues of complex
holomorphic functions - called monogenic functions - are defined by means of
the Dirac operators that factor a certain wave operator. One of the fundamental
features of quaternionic analysis is the invariance of quaternionic analogues
of holomorphic function under conformal (or Mobius) transformations. A similar
invariance property is known to hold in the context of Clifford algebras
associated to positive definite quadratic forms. We generalize these results to
the case of Clifford algebras associated to all non-degenerate quadratic forms.
This result puts the indefinite signature case on the same footing as the
classical positive definite case.
