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Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 163–177
DOI: https://doi.org/10.4213/mzm8597 (Mi mzm8597) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Completeness of a System of Analytic Functions

G. I. Andriyanov

Kaluga Branch of Bauman Moscow State Technical University
Full-text PDF (499 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8597
Abstract: 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, Liouville's theorem, Riemann boundary-value problem.
Received: 23.07.2009
Revised: 04.04.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 171–183
DOI: https://doi.org/10.1134/S0001434611010238
Bibliographic databases:
Document Type: Article
UDC: 517.442
Language: Russian
Citation: G. I. Andriyanov, “On the Completeness of a System of Analytic Functions”, Mat. Zametki, 89:2 (2011), 163–177; Math. Notes, 89:2 (2011), 171–183
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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