harmonic continuation
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scholarly journals Removable Singularities of Separately Harmonic Functions

2021 ◽  
pp. 369-375
Author(s):  
Sevdiyor A. Imomkulov ◽  
Sultanbay M. Abdikadirov
Keyword(s):  
Harmonic Function ◽  
Harmonic Functions ◽  
Closed Subset ◽  
Removable Singularities ◽  
Harmonic Continuation ◽  
Continuation Property ◽  
Dense Projections

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}.

A stability analysis of the harmonic continuation

2012 ◽  
Vol 28 (7) ◽  
pp. 075016 ◽  
Author(s):  
A Elcrat ◽  
V Isakov ◽  
E Kropf ◽  
D Stewart
Keyword(s):  
Stability Analysis ◽  
Harmonic Continuation

Harmonic continuation and gridding effects on geoid height prediction

1992 ◽  
Vol 66 (1) ◽  
pp. 41-53 ◽  
Author(s):  
C. C. Tscherning ◽  
R. Forsberg
Keyword(s):  
Geoid Height ◽  
Harmonic Continuation ◽  
Height Prediction
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