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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.FA2000
On similarity of perturbed multiplication operators
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
Let S be the multiplication operator by an independent variable x in L_2(0,1) and V be an integral operator of Volterra type. We find conditions for T:=S+V to be similar to S and d…