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

V. Rabinovich

doi:10.1080/17476933.2011.617042

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

V. Rabinovich

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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
Pages (from-to)	751-766
Number of pages	16
Journal	Complex Variables and Elliptic Equations
Volume	58
Issue number	6
DOIs	https://doi.org/10.1080/17476933.2011.617042
State	Published - Jun 2013

Keywords

Fredholm property
Wiener algebra
invertibility

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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 Schr{\"o}dinger operators on (μℤ)n as applications and study the relation between the spectra of Schr{\"o}dinger operators on ℝn and its discrete models on (μℤ)n for small μ>0.",

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AB - 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.

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JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

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ER -

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

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Keywords

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