A local Borg-Marchenko theorem for complex potentials
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Publication:1860436
DOI10.1016/S0377-0427(02)00577-0zbMath1019.34025OpenAlexW1986276472MaRDI QIDQ1860436
R. A. Peacock, B. Malcolm Brown, Rudi Weikard
Publication date: 23 February 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00577-0
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20)
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Cites Work
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- Reconstruction of Sturm-Liouville differential operators with singularities inside the interval
- 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
- On the spectrum of second-order differential operators with complex coefficients
- Some questions in the theory of one-dimensional linear differential operators of the second order. I
- Expansion in eigenfunctions of non-self-adjoint singular differential operators of second order
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
- A proof of the local Borg-Marchenko theorem
