Slice regular functions of several octonionic variables
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DOI: 10.1002/mma.6344
Abstract: A slice theory of several octonionic variables is introduced in the article as a generalization of the holomorphic theory of several complex variables. Our new trick is to focus our attentions on some subset of… read more here.
Keywords: functions several; several octonionic; regular functions; octonionic variables ... See more keywords
Polynomial Approximation in Slice Regular Fock Spaces
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DOI: 10.1007/s11785-018-0878-2
Abstract: The main purpose of this paper is to prove some density results of polynomials in Fock spaces of slice regular functions. The spaces can be of two different kinds since they are equipped with different… read more here.
Keywords: slice regular; regular fock; fock spaces; polynomial approximation ... See more keywords
On Cauchy Integral Theorem for Quaternionic Slice Regular Functions
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DOI: 10.1007/s11785-019-00913-2
Abstract: The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of… read more here.
Keywords: regular functions; cauchy integral; integral theorem; quaternionic slice ... See more keywords
Singularities of slice regular functions over real alternative ⁎-algebras
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DOI: 10.1016/j.aim.2016.10.009
Abstract: Abstract The main goal of this work is classifying the singularities of slice regular functions over a real alternative ⁎-algebra A. This function theory has been introduced in 2011 as a higher-dimensional generalization of the… read more here.
Keywords: slice regular; slice; regular functions; real alternative ... See more keywords