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Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung

Wolfhard Hansen (1971)

Annales de l'institut Fourier

This paper is devoted to a study of harmonic mappings φ of a harmonic space E ˜ on a harmonic space E which are related to a family of harmonic mappings of E ˜ into E ˜ . In this way balayage in E may be reduced to balayage in E . In particular, a subset A of E is polar if and only if φ - 1 ( A ) is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.

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