Über ähnlichkeitsprinzip und randwertaufgaben für verallgerneinerte analytische funktlonenf†

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Abstract
One can construct the solutions of Riemann-Hiibert boundary-value problems for generalized analytic functions locally without reference to the similarity principle. Then the similarity principle proves to be a conclusion from the existence theorems for the boundary-value problems. In this paper we deal with the opposite question: The solution of a Riemann-Hilbert boundary-value problem can be found by using the similarity principle. Essential aids are Green's functions of the Laplacian in a simple connected domain and Schauder's fixed point principle. With Schauder's continuity method one obtains a constructive procedure.