Removable Singularities of Separately Harmonic Functions
S. A. ImomkulovKarakalpak State University Nukus, UzbekistanSultanbay AbdikadirovKarakalpak State University Nukus, Uzbekistan
Ochiq kirishBronza
ABI
Annotatsiya
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}.
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