RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Izv. Vyssh. Uchebn. Zaved. Mat.: Year: Volume: Issue: Page: Find

 Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 12, Pages 3–8 (Mi ivm9417)

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

F. N. Garif'yanova, N. F. Garif'yanovb, E. V. Strezhnevac

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.

Full text: PDF file (159 kB)
References: PDF file   HTML file
UDC: 517:544

Citation: 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, no. 12, 3–8

Citation in format AMSBIB
\Bibitem{GarGarStr18} \by F.~N.~Garif'yanov, N.~F.~Garif'yanov, E.~V.~Strezhneva \paper On Hamburger moments problem generated by a group with two limit points \jour Izv. Vyssh. Uchebn. Zaved. Mat. \yr 2018 \issue 12 \pages 3--8 \mathnet{http://mi.mathnet.ru/ivm9417}