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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136 Łódź, Poland
  2. Departamento de Matemática, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000 México, D.F., Mexico

Abstract

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.

Keywords

ENG
quaternionic analysis, quaternionic manifolds

Bibliography

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Annales Polonici Mathematici
1994/59/1
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Pages:
53-64
Main language of publication
English
Received
1992-12-28
Published
1994
Exact and natural sciences