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Fredholmness of pseudodifference operators in weighted Spaces |
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| Authors: | V. S. Rabinovich S. Roch |
| Affiliation: | 1. Instituto Politécnico Nacional, ESIME-Zacatenco, Mexico 2. Technische Universit?t Darmstadt, Fachbereich Mathematik, Russia |
| Abstract: | The aim of the paper is to present some results concerning pseudodifference operators on ?N, which are a discrete analog of standard pseudodifferential operators on ?N. We study the Fredholm property of pseudodifference operators acting in weighted l p spaces on ?N and the Phragmen-Lindelöf principle for solutions of pseudodifference equations and give applications of these results to discrete Schrö dinger operators on ?N. |
| Keywords: | pseudodifference operator Fredholm property Phragmen-Lindel?f principle discrete Schr?dinger operator |
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