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Vekua theory in higher dimensional complex spaces: The $$\Pi$$-operator in $$\mathbb{C}^ n$$. (English) Zbl 0796.32003
Summary: We generalize the Vekua II-operator to $$\mathbb{C}^ n$$. Furthermore, its properties are investigated in detail. Finally we provide an application to global solutions for higher dimensional Beltrami equations.

##### MSC:
 32A30 Other generalizations of function theory of one complex variable 30C62 Quasiconformal mappings in the complex plane 35N05 Overdetermined systems of PDEs with constant coefficients 58J10 Differential complexes
##### Keywords:
Vekua II-operator; Beltrami equations
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