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On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groups

Year: 2005

Type: preprint

Abstract: In the present paper we define quasimeromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickman, concerning the value distribution for quasimeromorphic mappings on $\mathbb H$-type Carnot groups for parabolic and hyperbolic type domains.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0509289

Authors: Markina, Irina, Vodopyanov, Sergey

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950214596

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