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Power series expansions for monogenic functions

In this paper we establish a plane wave integral representation for monogenic functions in convex compactsets of which refines the representation theorem of Cauchy for such functions. Using this representation, we determine the maximal subset of the unit ball, in which the multiple Taylor series of a left monogenic function in the unit ball converges. In this way an improvement is obtained of results by W K Hayman (see [3]) and K. Sano (see [6])