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Iteration of the Pompeiu integral operator and complex higher order equations. (English) Zbl 0999.30025

Summary: The paper contains a brief presentation of the Pompeiu integral operator and applications to the Dirichlet problem in the unit disc and to complex elliptic second order equations.

MSC:

30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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