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- W3185351447 abstract "In their recent work, Gentili and Struppa proposed a different quaternionic analogue of the notion of holomorphic functions in the complex plane, called textit{slice regular functions}, which has led to several analogues of classical theorems in complex function theory in the quaternionic setting. The quaternionic analogue of meromorphic functions is called textit{semiregular functions}. Such a function is said to be textit{slice preserving} if it maps each domain in a complex line to a domain in the same complex line. In this work, we deal with the relation between analytic and algebraic properties of certain fields of semiregular functions in symmetric slice domains of the real quaternions. More precisely, we prove quaternionic analogues of Bers's theorem and Iss'sa's theorem that deal with the algebraic structures of the ring of slice preserving regular functions and of certain fields of slice preserving semiregular functions on symmetric slice domains in the real quaternions." @default.
- W3185351447 created "2021-08-02" @default.
- W3185351447 creator A5086750806 @default.
- W3185351447 date "2021-07-25" @default.
- W3185351447 modified "2023-09-27" @default.
- W3185351447 title "Quaternionic analogues of Bers's theorem and Iss'sa's theorem." @default.
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