The Open Mapping Theorem for Regular Quaternionic Functions
Copyright policy )The Open Mapping Theorem for Regular Quaternionic Functions
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.
8 pages
- University of Florence Italy
30G35, Functions of a quaternionic variable; functions of a hypercomplex variable; open mapping theorem.; minimum modulus principle, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)
30G35, Functions of a quaternionic variable; functions of a hypercomplex variable; open mapping theorem.; minimum modulus principle, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)
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