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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1208–1220 (Mi smj2599)  
This article is cited in 1 scientific paper (total in 1 paper)

Completeness of the system of entire nonnegative powers of analytic functions in $A(D)$

G. I. Andriyanov

Kaluga Branch of Bauman Moscow State Technical University, Kaluga, Russia
Full-text PDF (336 kB) Citations (1)
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Abstract: We consider a method for proving the completeness of some systems of analytic functions in the space $A(D)$ for the value of some parameter equal to 3. The method had been previously studied by the author for the value of this parameter equal to 2. We point out some applications of the above results to the Abel–Goncharov problem and the Gel'fond–Ibragimov problem, as well as in other cases.
Keywords: function system, completeness, boundary value problem.
Received: 28.03.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 984–994
DOI: https://doi.org/10.1134/S0037446614060020
Bibliographic databases:
Document Type: Article
UDC: 517.442
Language: Russian
Citation: G. I. Andriyanov, “Completeness of the system of entire nonnegative powers of analytic functions in $A(D)$”, Sibirsk. Mat. Zh., 55:6 (2014), 1208–1220; Siberian Math. J., 55:6 (2014), 984–994
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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