D. B. Katz, B. A. Kats, “Integral representations for solutions of some types of the Beltrami equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 3,Pages <nobr>23

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Integral representations for solutions of some types of the Beltrami equations

D. B. Katz, B. A. Kats

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We obtain integral representations for solutions of some types of the Beltrami equations. This representations allow us to prove analogs of some classical complex analysis for these solutions.

Keywords: Beltrami equation, integral representation, Liuoville theorem, removable set.

UDC: 517.53

Received: 21.01.2017