Partially - conformal mappings in multidimensional complex spaces
Complex Variables
2011-05-16 v1
Abstract
The paper proposes a vector generalization of the basic concepts of the theory of complex variable: the concept of modulus and argument of complex number. The author introduces some generalizations of the notion of holomorphic functions and mappings to the case of infinite-dimensional complex spaces. This approach allows us to generalize several well-known results of geometric function theory to the case of infinite-dimensional complex spaces. In particular, the author summarizes a number of known theorems on the theory of functions of class S on infinite-dimensional complex space.
Cite
@article{arxiv.1105.2622,
title = {Partially - conformal mappings in multidimensional complex spaces},
author = {A. K. Bakhtin},
journal= {arXiv preprint arXiv:1105.2622},
year = {2011}
}