Branching form of the resolvent at thresholds for multi-dimensional discrete Laplacians

DOI10.1016/j.jfa.2019.05.018zbMath1496.47011arXiv1608.03779OpenAlexW2951593539WikidataQ127812214 ScholiaQ127812214MaRDI QIDQ2421524

Arne Jensen, Kenichi Ito

Publication date: 17 June 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03779

zbMATH Keywords

thresholddiscrete Laplaciansquare latticeexpansion of resolvent

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Discrete version of topics in analysis (39A12)

Related Items

Continuum limit for lattice Schrödinger operators ⋮ Some properties of threshold eigenstates and resonant states of discrete Schrödinger operators ⋮ Bands of pure absolutely continuous spectrum for lattice Schrödinger operators with a more general long range condition ⋮ Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions ⋮ Spectral asymptotics at thresholds for a Dirac-type operator on \(\mathbb{Z}^2\)

Uses Software

• DLMF

Cites Work

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