Fredholm theory of differential operators on periodic graphs

DOI10.1090/CONM/717/14447zbMath1482.81018OpenAlexW2898183609MaRDI QIDQ5234942

Vladimir S. Rabinovich

Publication date: 7 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/717/14447

zbMATH Keywords

essential spectrumquantum graphsFredholm theory

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

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• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Spectra of Schrödinger operators on equilateral quantum graphs
• On the spectra of carbon nano-structures
• On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators
• Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke
• On the essential spectrum of quantum graphs
• Limit operators and their applications in operator theory
• Schrödinger operators on zigzag nanotubes
• Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs
• Spectral band localization for Schrödinger operators on discrete periodic graphs
• Quantum graphs: I. Some basic structures
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
• The essential spectrum of Schrödinger operators on lattices
• Quantum Graphs and Their Applications
• OPERATORS OF CONVOLUTION TYPE IN CONES
• PSEUDODIFFERENTIAL OPERATORS ON A CLASS OF NONCOMPACT MANIFOLDS
• Essential spectra of difference operators on -periodic graphs

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