×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI