An inverse spectral theory of Gel'fand-Levitan-type for higher order differential operators

DOI10.1007/BF00418116zbMath0581.34018OpenAlexW2025459867MaRDI QIDQ1068268

Woodford W. Zachary

Publication date: 1984

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00418116

zbMATH Keywords

inverse spectral theoryGel'fand-Levitan theory for Sturm-Liouville operators

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40) Ordinary differential operators (34L99) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Cites Work

• Unnamed Item
• Necessary conditions for the existence of a transformation operator for higher-order equations
• An integral representation for eigenfunctions of linear ordinary differential operators

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