33 citations · 184 across the 24 of their papers we have counts for
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math.SP2006★ 17 cited
Indefinite Sturm-Liouville operators with the singular critical point zero
Illya M. Karabash, Aleksey S. Kostenko
We present a new necessary condition for similarity of indefinite Sturm-Liouville operators to self-adjoint operators. This condition is formulated in terms of Weyl-Titchmarsh -…
math.SP2006★ 14 cited
Indefinite Sturm-Liouville operators $ (\sgn x) (- \frac{d^2}{dx^2} +q(x))$ with finite-zone potentials
I. M. Karabash, M. M. Malamud
The indefinite Sturm-Liouville operator $A = (\sgn x)(-d^2/dx^2+q(x))$ is studied. It is proved that similarity of to a selfadjoint operator is equivalent to integral estimates…