Ukrainian Mathematical Journal

, Volume 53, Issue 4, pp 584–594 | Cite as

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

  • A. M. Samoilenko


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.


Dynamical System Explicit Form Green Function Linear Extension Unique Green Function 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • A. M. Samoilenko
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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