121 citations
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math.SP2003★ 71 cited
Half-inverse spectral problems for Sturm--Liouville operators with singular potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
Half-inverse spectral problem for a Sturm--Liouville operator consists in reconstruction of this operator by its spectrum and half of the potential. We give the necessary and suffi…
math.SP2003★ 6 cited
Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra
R. O. Hryniv, Ya. V. Mykytyuk
We solve the inverse spectral problem of recovering the singular potentials of Sturm-Liouville operators by two spectra. The reconstruction algorithm is pres…
math.SP2002★ 121 cited
Inverse spectral problems for Sturm-Liouville operators with singular potentials
R. O. Hryniv, Ya. V. Mykytyuk
The inverse spectral problem is solved for the class of Sturm-Liouville operators with singular real-valued potentials from the space . The potential is recovered vi…