Resolvent expansion for the Schrödinger operator on a graph with infinite rays

DOI10.1016/j.jmaa.2018.04.022zbMath1387.05151arXiv1712.01592OpenAlexW2963789078MaRDI QIDQ1748329

Kenichi Ito, Arne Jensen

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1712.01592

zbMATH Keywords

Schrödinger operatorresonancethresholdgeneralized eigenfunctionresolvent expansioncombinatorial graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Spectra of graphs
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• Spectra of infinite graphs with tails
• Spectral analysis for the Sturm–Liouville operator on sun-type graphs
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• ERRATUM: A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• A complete classification of threshold properties for one-dimensional discrete Schrödinger operators
• Resolvent expansions for the Schrödinger operator on the discrete half-line

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