Norms and moduli on multicomplex spaces (Q1623836)

An introduction to the algebra of multicomplex spaces, in particular bicomplex and tricomplex spaces, is presented. Furthermore, multicomplex holomorphic functions, in particular bicomplex and tricomplex holomorphic functions, are explicitly described. Different types of norms and moduli on the multicomplex space: hyperbolic valued norm, Finsler-Type modulus are discussed. Moreover, the Euclidean norm, Lie and Dual Lie norms on bicomplex spaces are also introduced. A generalization of the notion of a bicomplex manifold to the one of a multicomplex manifold, using the theory of Multicomplex Analysis, is introduced. Several examples of bicomplex and multicomplex manifolds are presented. For the entire collection see [Zbl 1403.15001].