F. N. Garif'yanov, N. F. Garif'yanov, E. V. Strezhneva, “On Hamburger moments problem generated by a group with two limit points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 12,Pages <nobr>3

This article is cited in 1 paper

On Hamburger moments problem generated by a group with two limit points

F. N. Garif'yanov^a, N. F. Garif'yanov^b, E. V. Strezhneva^c

^a Kazan Power Engineering University, 51 Krasnosel’skaya str., Kazan, 420066 Russia
^b Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^c Kazan National Research University named after A.N. Tupolev, 10 K. Marks str., Kazan, 420111 Russia

Abstract: We study a linear four-element equation in the class of solutions that are holomorphic outside an isosceles trapezium and vanish at infinity. The equation is used here to investigate the Hamburger moments problem for entire functions of exponential type.

Keywords: equivalent regularization, Carleman's problem, moments of entire functions of exponential type.

UDC: 517:544

Received: 27.11.2017