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

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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. 
@article{UZKU_2012_154_3_a10,
     author = {F. N. Garifyanov and D. B. Kats},
     title = {On an {Equation} with {Carleman} {Kernel} and {Its} {Application} to the {Moment} {Problem}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {112--120},
     publisher = {mathdoc},
     volume = {154},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a10/}
}
TY  - JOUR
AU  - F. N. Garifyanov
AU  - D. B. Kats
TI  - On an Equation with Carleman Kernel and Its Application to the Moment Problem
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2012
SP  - 112
EP  - 120
VL  - 154
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a10/
LA  - ru
ID  - UZKU_2012_154_3_a10
ER  - 
%0 Journal Article
%A F. N. Garifyanov
%A D. B. Kats
%T On an Equation with Carleman Kernel and Its Application to the Moment Problem
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2012
%P 112-120
%V 154
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a10/
%G ru
%F UZKU_2012_154_3_a10
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/