121 citations · 159 across the 4 of their papers we have counts for
7 papers
Asymptotics of zeros for some entire functions
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
We study the asymptotics of zeros for entire functions of the form \sin z + \int_{-1}^1 f(t)e^{izt}dt with f belonging to a space X \hookrightarrow L_1(-1,1) possessing some minima…
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…
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…
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…
Schrödinger operators with singular Gordon potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger ope…
Schrödinger Operators with Periodic Singular Potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
We show that formal Schrödinger operators with singular potentials from the space W^{-1}_{2,unif}(R) can be naturally defined to give selfadjoint and bounded below operators, which…