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Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra. - MaRDI portal

Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra. (Q1406991)

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Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra.
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    Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra. (English)
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    7 September 2003
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    The inverse spectral problem of recovering singular potentials of Sturm-Liouville operators by three spectra is studied. Under the additional condition of the separation of the spectra, a uniqueness theorem is proved, and necessary and sufficient conditions on the spectra are obtained. For part I see Inverse Probl. 19, 665--684 (2003; Zbl 1034.34011).
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    inverse spectral problems
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    uniqueness theorem
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    singular potentials
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