Norm resolvent convergence of discretized Fourier multipliers

DOI10.1007/s00041-021-09876-5OpenAlexW3097417125MaRDI QIDQ2048692

Arne Jensen, Henrik Garde, Horia D. Cornean

Publication date: 23 August 2021

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.16215

zbMATH Keywords

latticeFourier multiplierHausdorff distancenorm resolvent convergence

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Spectrum, resolvent (47A10) Linear operator approximation theory (47A58) Linear difference operators (47B39) Local spectral properties of linear operators (47A11)

Related Items (4)

Continuum limit of the lattice quantum graph Hamiltonian ⋮ Discrete approximations to Dirac operators and norm resolvent convergence ⋮ Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence ⋮ Continuum limit for a discrete Hodge-Dirac operator on square lattices

Cites Work

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• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
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• Wiener algebra of operators on the lattice (μ ℤ)ⁿdepending on the small parameter μ>0
• Continuous approximation of breathers in one- and two-dimensional DNLS lattices
• An introduction to frames and Riesz bases

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