The open mapping theorem for regular quaternionic functions
By Graziano Gentili, Caterina Stoppato. 2008
48 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/eb6c68a8cc0449455bd9f080f396559558f70293
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In Applied Mathematics
- Caterina Stoppato
- Irene Sabadini
- Daniele C. Struppa
- Fabrizio Colombo
- Graziano Gentili
- Riccardo Ghiloni
- A. Perotti
- S. Salamon
In Statistical and Nonlinear Physics
- Fabrizio Colombo
- Irene Sabadini
- Daniele C. Struppa
- Caterina Stoppato
- Graziano Gentili
- S. Salamon
- Daniel Alpay
Citations in the corpus
- Twistor transforms of quaternionic functions and orthogonal complex structures (2012, methodology): “The following two results, from [13, 14], will prove useful to this end.”
- Regular Functions of a Quaternionic Variable (2013, methodology): “Let us begin by presenting the definition of regular reciprocal of f , given in [25] and studied in [50] for power series, then extended in [5].”
- Entire slice regular functions (2015, background): “The theory of slice regular functions was delevoped in the papers [47, 104, 106, 107, 109, 110, 112, 113], in particular, the zeros”
- Regular Moebius transformations of the space of quaternions (2008, methodology): “C V ] 1 8”