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Slice Fueter-Regular Functions [PDF]

Journal of Geometric Analysis, 2021
33 ...
Riccardo Ghiloni
exaly   +5 more sources

On the Real Differential of a Slice Regular Function

Advances in Geometry, 2018
In this paper we show that the real differential of any injective slice regular function is everywhere invertible. The result is a generalization of a theorem proved by G. Gentili, S. Salamon and C.
Amedeo Altavilla
exaly   +2 more sources

S-Regular Functions Which Preserve a Complex Slice [PDF]

Annali Di Matematica Pura Ed Applicata, 2018
We study global properties of quaternionic slice regular functions (also called extit{s-regular}) defined on symmetric slice domains. In particular, thanks to new techniques and points of view, we can characterize the property of being one-slice ...
Chiara de Fabritiis, Amedeo Altavilla
exaly   +2 more sources

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Slice Spirallike Functions over Quaternions

Complex Analysis and Operator Theory, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Zhenghua, Zhang, Die, Liu, Yuan, Si, Jiajia   +3 more
openaire   +2 more sources

Slice Hyperholomorphic Functional Calculi

2014
This paper is a survey on some functional calculi constructed with slice hyperholomorphic functions, mainly on the S-functional calculus. This is a functional calculus, defined for n-tuples of not necessarily commuting operators, and it is based on the recent theory of slice hyperholomorphic functions. Its version for commuting operators, called the SC-
COLOMBO, FABRIZIO, SABADINI, IRENE MARIA
openaire   +2 more sources