On the recovery of a differential equation from its spectral functions

DOI10.1006/JMAA.2001.7585zbMath0997.34074OpenAlexW2045488419WikidataQ115395355 ScholiaQ115395355MaRDI QIDQ5952271

D. J. Gilbert, B. J. Harris

Publication date: 10 November 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7585

zbMATH Keywords

inverse problemspectral functionTitchmarsh-Weyl function

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Inverse problems for functional-differential equations (34K29)

Related Items (2)

Bounds for the points of spectral concentration of Sturm–Liouville problems ⋮ The spectral function for Sturm-Liouville problems where the potential is of Wigner-von Neumann type or slowly decaying

Cites Work

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• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• A new approach to inverse spectral theory. III: Short-range potentials
• A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure
• A new approach to inverse spectral theory. I: Fundamental formalism
• On the determination of a differential equation from its spectral function
• Connection formulae for spectral functions associated with singular Sturm–Liouville equations
• A Characterization of the Spectra of One-Dimensional Wave Equations

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