Article

Continuation of Analytic and Pluriharmonic Functions in the Given Direction by the ChirkaMethod: a Survey

Azimbay SadullaevNational University of Uzbekistan named after M. Ulugbek

Contemporary Mathematics Fundamental Directionsjournal2019en

ABI

Abstract

In this paper, we provide a survey of results on analytic and plurisubharmonic continuations of functions that have this set of singularities along a ﬁxed direction. We show the advantages of using the pluripotential theory and the Jacobi-Hartogs series for description of the singular set of such functions.

Topics

Algebraic and Geometric Analysis Geometry and complex manifolds Advanced Algebra and Geometry

Identifiers

DOI: 10.22363/2413-3639-2019-65-1-83-94

Citations and references

Cited by 07 references

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