2019
Том 71
№ 9

All Issues

On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus

Samoilenko A. M.

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Abstract

We prove two theorems on the existence of a unique Green function for a linear extension of a dynamical system on a torus. We also give two examples of the construction of this function in explicit form.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 4, pp 584-594.

Citation Example: Samoilenko A. M. On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus // Ukr. Mat. Zh. - 2001. - 53, № 4. - pp. 513-521.

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