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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 2, Pages 243–249 (Mi smj2192)  
This article is cited in 13 scientific papers (total in 13 papers)

On the four-element equation for the functions analytic beyond a trapezoid and its applications

F. N. Garif'yanov, S. A. Modina

Kazan State Power Engineering University, Kazan, Russia
Full-text PDF (262 kB) Citations (13)
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Abstract: The four-element linear functional equation is studied in the class of functions analytic beyond an isosceles trapezoid and vanishing at infinity. Some system of entire functions is constructed of completely regular growth biorthogonal with a piecewise exponential weight to the system of powers on the coordinate axis.
Keywords: equivalent regularization, Carleman problem, moment problem, entire function of exponential type.
Received: 12.07.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 2, Pages 191–196
DOI: https://doi.org/10.1134/S0037446611020017
Bibliographic databases:
Document Type: Article
UDC: 517.18
Language: Russian
Citation: F. N. Garif'yanov, S. A. Modina, “On the four-element equation for the functions analytic beyond a trapezoid and its applications”, Sibirsk. Mat. Zh., 52:2 (2011), 243–249; Siberian Math. J., 52:2 (2011), 191–196
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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