Affiliation:
1. Khorezm Regional Branch of the V. I. Romanovsky Mathematical Institute Academy of Sciences of the Republic of Uzbekistan
2. Karakalpak State University
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}.
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics
Cited by
1 articles.
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1. On Shimoda's Theorem;Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki;2023-03