71 citations
3 papers
math.FA2004★ 30 cited
Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale
R. O. Hryniv, Ya. V. Mykytyuk
We solve the inverse spectral problems for the class of Sturm--Liouville operators with singular real-valued potentials from the Sobolev space W^{s-1}_2(0,1), s\in[0,1]. The potent…
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…