A Borg–Levinson theorem for trees

DOI10.1098/rspa.2005.1513zbMath1370.34051OpenAlexW2119398442MaRDI QIDQ5428307

Rudi Weikard, B. Malcolm Brown

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1513

zbMATH Keywords

inverse spectral problemstreesDirichelet-to-Neumann map

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

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Cites Work

• An \(n\)-dimensional Borg-Levinson theorem
• On local Borg-Marchenko uniqueness results
• A local Borg-Marchenko theorem for complex potentials
• A new approach to inverse spectral theory. I: Fundamental formalism
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• The Approximation Numbers of Hardy-Type Operators on Trees
• Scattering on graphs and one-dimensional approximations to N-dimensional Schrödinger operators
• The free Dirac operator on compact and noncompact graphs
• The Dirichlet to Neumann Map for a Resistor Network
• SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS
• Neumann laplacians on domains and operators on associated trees
• Scattering on a Compact Domain with Few Semi-Infinite Wires Attached: Resonance Case
• Determining the Resistors in a Network
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