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Showing 2006 · math.SPShow all
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math.SP2006★ 26 cited
The inverse problem for perturbed harmonic oscillator on the half-line with Dirichlet boundary conditions
Dmitry Chelkak, Evgeny Korotyaev
We consider the perturbed harmonic oscillator , , in , where $q\in\bH_+=\{q', xq\in L^2(\R_+)\}$ is a real-valued potential. We prove that…
math.SP2006
Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem
Dmitry Chelkak, Evgeny Korotyaev
We obtain a parametrization of the isospectral set of matrix-valued potentials for the vector-valued Sturm-Liouville problem on a finite interval.