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arXiv · 1105.2622

Partially - conformal mappings in multidimensional complex spaces

A. K. Bakhtin
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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.

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A. K. Bakhtin. 2011-05-13. Partially - conformal mappings in multidimensional complex spaces. https://arxiv.org/abs/1105.2622

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