Geodesic
On an Equation with Carleman Kernel and Its Application to the Moment Problem
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 112-120
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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.
Mots-clés : Carleman problem
Keywords: entire functions of exponential type, moment problem. 
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F. N. Garifyanov; D. B. Kats. On an Equation with Carleman Kernel and Its Application to the Moment Problem. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 112-120. http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a10/

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