Geodesic
On the Completeness of a System of Analytic Functions
Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 163-177

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A new method of establishing the completeness of systems of analytic functions in the space $A(D)$ is considered. We indicate some applications of the results obtained to the case of the principle of doubly symmetric Kazmin sets, to the Abel–Goncharov problem (the uniqueness and construction problem), and to some other cases.
Keywords: analytic function, completeness of systems of analytic functions, doubly symmetric Kazmin set, Riemann boundary-value problem.
Mots-clés : Liouville's theorem 
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     author = {G. I. Andriyanov},
     title = {On the {Completeness} of a {System} of {Analytic} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--177},
     publisher = {mathdoc},
     volume = {89},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a0/}
}
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G. I. Andriyanov. On the Completeness of a System of Analytic Functions. Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 163-177. http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a0/