The open mapping theorem for regular quaternionic functions

Details The open mapping theorem for regular quaternionic functions The open mapping theorem for regular quaternionic functions

2008-02-26

arxiv.org/abs/0802.3861v1

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), VIII(4):805--815, 2009

Mathematics

Complex Variables

8 pages

Scientific paper

10.2422/2036-2145.2009.4.07

The basic results of a new theory of regular functions of a quaternionic
variable have been recently stated, following an idea of Cullen. In this paper
we prove the minimum modulus principle and the open mapping theorem for regular
functions. The proofs involve some peculiar geometric properties of such
functions which are of independent interest.

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