F. N. Garifyanov, A. F. Garifyanov, “On functional equations related to a dihedral group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 11,Pages <nobr>33

This article is cited in 1 paper

On functional equations related to a dihedral group

F. N. Garifyanov^a, A. F. Garifyanov^b

^a Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^b Chair of Higher Mathematics, Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia

Abstract: We propose a method for regularization of two three-element functional equations generated by a special case of dihedral group of rotations. These results are applied to the moment problem for entire functions of exponential type and for evaluation of biorthogonally dual systems of analytic functions.

Keywords: regularization, Carleman boundary-value problem, problem on moments.

UDC: 517.518

Received: 18.06.2013