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Anisotropic complex structure on the pseudo-Euclidean Hurwitz pairs

W. Królikowski — 1991

Annales Polonici Mathematici

The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.

Regular and biregular functions in the sense of Fueter - some problems

W. Królikowski; R. Michael Porter — 1994

Annales Polonici Mathematici

The biregular functions in the sense of Fueter are investigated. In particular, the class of LR-biregular mappings (left regular with a right regular inverse) is introduced. Moreover, the existence of non-affine biregular mappings is established via examples. Some applications to the quaternionic manifolds are given.

A gauge theory for the Kadomtsev-Petviashvili system

Kanemaki, S.; Królikowski, W.; Suzuki, O. — 1987

Proceedings of the 14th Winter School on Abstract Analysis

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