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- W1968559293 abstract "The fundamental elements of a new theory of regular functions of a quaternionic variable have been recently developed, following an idea of Cullen. In this paper we present a detailed study of the structure of the zero set of Cullen-regular functions. We prove that the zero sets of the functions under investigation consist of isolated points or isolated 2-spheres, in the 4-dimensional real space of quaternions. Moreover, the zeros of a regular function can be factored by means of a non-standard product. The Fundamental Theorem of Algebra for quaternions, and the approach here adopted lead, in particular, to a deeper insight of the geometric and algebraic properties of the zero sets of polynomials with quaternionic coefficients." @default.
- W1968559293 created "2016-06-24" @default.
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- W1968559293 date "2008-12-01" @default.
- W1968559293 modified "2023-09-29" @default.
- W1968559293 title "Zeros of regular functions and polynomials of a quaternionic variable" @default.
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- W1968559293 doi "https://doi.org/10.1307/mmj/1231770366" @default.
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