Abstract
This article is devoted to the problems of invertibility and Fredholmness of operators in the weighted Wiener algebra acting in the weighted spaces of vector-functions on the lattice (μℤ)n = {x∈ℝn: x = μy,y∈ℤn} for small μ>0. We consider the discrete Schrödinger operators on (μℤ)n as applications and study the relation between the spectra of Schrödinger operators on ℝn and its discrete models on (μℤ)n for small μ>0.
Original language | English |
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Pages (from-to) | 751-766 |
Number of pages | 16 |
Journal | Complex Variables and Elliptic Equations |
Volume | 58 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2013 |
Keywords
- Fredholm property
- Wiener algebra
- invertibility