Work

'Analogue of Hartogs' Lemma for Pluriharmonic Functions

Year: 2024

Type: article

Abstract: In this paper, an analogue of the Hartogs’ lemma for pluriharmonic functions is proved. The conditions of the theorem are, of course, necessary for the pluriharmonicity of functions of many variables. Conditions 1, characterizing the harmonicity of a function in direction is standard in theorems of continuation along lines. It defines the principle of continuation of a function in a direction

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.13998711

Author: Ruzimbay M. Madrakhimov

Institution: National Pedagogical University of Uzbekistan named after Nizami

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6911937204

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