Singularities of functions of one and several bicomplex variables |
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| Authors: | Fabrizio Colombo Irene Sabadini Daniele C. Struppa Adrian Vajiac Mihaela B. Vajiac |
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| Affiliation: | (1) Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy;(2) Department of Mathematical Analysis, State University of Ghent, Galglaan 2, B-9000 Gent, Belgium;(3) Department, of Mathematical Sciences, George Mason University, Fairfax, Virginia, 22030 |
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| Abstract: | In this paper we study the singularities of holomorphic functions of bicomplex variables introduced by G. B. Price (An Introduction to Multicomplex Spaces and Functions, Dekker, New York, 1991). In particular, we use computational algebra techniques to show that even in the case of one bicomplex variable, there cannot be compact singularities. The same techniques allow us to prove a duality theorem for such functions. |
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