Article

Removable Singularities of Separately Harmonic Functions

S. A. ImomkulovKhorezm Regional Branch of the V. I. Romanovsky Mathematical Institute Academy of Sciences of the Republic of UzbekistanSultanbay AbdikadirovKarakalpak State University

Journal of Siberian Federal University Mathematics & Physicsjournal2021en

ABI

Abstract

Removable singularities of separately harmonic functions are considered. More precisely, we prove harmonic continuation property of a separately harmonic function u(x, y) in D \ S to the domain D, when D ⊂ Rn(x) × Rm(y), n,m > 1 and S is a closed subset of the domain D with nowhere dense projections S1 = {x ∈ Rn : (x, y) ∈ S} and S2 = {y ∈ Rm : (x, y) ∈ S}.

Topics

Advanced Mathematical Modeling in Engineering Analytic and geometric function theory Numerical methods in inverse problems

Identifiers

DOI: 10.17516/1997-1397-2021-14-3-369-375

Citations and references

Cited by 1 9 references

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