Abstract
AbstractIn this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to study the properties of analytic functions in two algebras of dimension four that played a relevant role in some work of the Italian school, but that have never been fully investigated.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics
Reference27 articles.
1. Adams, W.W., Berenstein, C.A., Loustaunau, P., Sabadini, I., Struppa, D.C.: Regular functions of several quaternionic variables and the Cauchy–Fueter complex. J. Geom. Anal. 9, 1–15 (1999)
2. Baley Price, G.: An Introduction to Multicomplex Spaces and Functions. Marcel Dekker, New York (1991)
3. Colombo, F., Sabadini, I., Sommen, F., Struppa, D.C.: Analysis of Dirac Systems and Computational Algebra. Birkhäuser, Basel (2004)
4. Colombo, F., Sabadini, I., Sommen, F., Struppa, D.C.: Syzygies and conservation laws. Found. Phys. Lett. 15, 507–522 (2002)
5. Colombo, F., Sabadini, I., Struppa, D.C., Vajiac, A., Vajiac, M.: Singularities of functions of one and several bicomplex functions. Ark. Mat. 49, 277–294 (2011)