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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 3, Pages 112–120 (Mi uzku1143)  
This article is cited in 8 scientific papers (total in 8 papers)

On an Equation with Carleman Kernel and Its Application to the Moment Problem

F. N. Garifyanova, D. B. Katsb

a Kazan State Power Engineering University
b Kazan (Volga Region) Federal University
Full-text PDF (221 kB) Citations (8)
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Abstract: We solve a poly-element linear functional equation for an unknown function holomorphic in a square by its reduction to an integral equation with Carleman kernel. This equation is connected with the problem of determining an entire function of exponential growth by a given linear relationship between the weighted moments of this function and the serial expansion coefficients of its Borel transform at the center of the square.
Keywords: Carleman problem, entire functions of exponential type, moment problem.
Received: 13.04.2012
Document Type: Article
UDC: 517.544
Language: Russian
Citation: F. N. Garifyanov, D. B. Kats, “On an Equation with Carleman Kernel and Its Application to the Moment Problem”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 3, Kazan University, Kazan, 2012, 112–120
Citation in format AMSBIB
\Bibitem{GarKat12}
\by F.~N.~Garifyanov, D.~B.~Kats
\paper On an Equation with Carleman Kernel and Its Application to the Moment Problem
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 3
\pages 112--120
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1143}
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  • https://www.mathnet.ru/eng/uzku/v154/i3/p112
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    References:66
     
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