Abstract:
We propose a regularization method for four-element linear difference equations with analytic coefficients. We study these equations in the class of functions which are holomorphic in the complex plane with a cruciform cut and vanish at infinity. We give several examples illustrating the dependence of the solvability properties of equations on the choice of periodic coefficients. We describe various applications.
Keywords:difference equations, regularization method, Carleman problem, moments of entire functions.
UDC:517.929+517.518
Presented by the member of Editorial Board:L. A. Aksent'ev Received: 01.03.2011