Theorem Let + be a bounded domain with the topological boundary , which is a piecewise smooth surface, let F 2 N ( +)\G
[ ). Then the following equality holds in +:
It follows trivially from the Borel-Pompeiu formula. As usual, the Cauchy integral representation for a class of functions has numerous consequences. But first we consider, as we did in Chapters 4 and 5, some corollaries of (6.1.1) for conventional complex analysis, i.e., its restrictions onto some subclasses of hyperholomorphic m.v.d.f.