121 citations · 392 across the 18 of their papers we have counts for
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math.CV2004★ 2 cited
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…
math.SP2004★ 51 cited
Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
We derive eigenvalue asymptotics for Sturm--Liouville operators with singular complex-valued potentials from the space $W^{\al-1}_{2}(0,1)$, $\al\in[0,1]$, and Dirichlet or Neumann…
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…