Wiener algebra of operators on the lattice (μ ℤ)n depending on the small parameter μ>0: An International Journal

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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. © 2013 Copyright Taylor and Francis Group, LLC.
Original languageAmerican English
Pages (from-to)751-766
Number of pages674
JournalComplex Variables and Elliptic Equations
DOIs
StatePublished - 1 Jun 2013

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Wiener Algebra
Small Parameter
Algebra
Mathematical operators
Fredholmness
Discrete Operators
Invertibility
Weighted Spaces
Operator
Discrete Model

Cite this

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Wiener algebra of operators on the lattice (μ ℤ)n depending on the small parameter μ>0: An International Journal. / Rabinovich, V.

In: Complex Variables and Elliptic Equations, 01.06.2013, p. 751-766.

Research output: Contribution to journalArticleResearchpeer-review

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