Abstract
The aim of the paper is to present some results concerning pseudodifference operators on ℤN, which are a discrete analog of standard pseudodifferential operators on ℝN. We study the Fredholm property of pseudodifference operators acting in weighted lp spaces on ℤN and the Phragmen-Lindelof principle for solutions of pseudodifference equations and give applications of these results to discrete Schro dinger operators on ℤN.
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