26 citations · 314 across the 90 of their papers we have counts for
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Spectral estimates for matrix-valued periodic Dirac operators
Evgeny Korotyaev
We consider the first order periodic systems perturbed by a $2N\ts 2N$ matrix-valued periodic potential on the real line. The spectrum of this operator is absolutely continuous and…
Conformal spectral theory for the monodromy matrix
Evgeny Korotyaev
For any $N\ts N$ monodromy matrix we define the Lyapunov function, which is analytic on an associated N-sheeted Riemann surface. On each sheet the Lyapunov function has the standar…
A priori estimates for conformal mappings on complex plane with parallel slits
Pavel Kargaev, Evgeny Korotyaev
We study the properties of a conformal mapping from the plane without vertical slits $\G_n=[u_n-ih_n, u_n+ih_n], n\in\Z$ and , onto the complex p…
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…
The inverse Sturm-Liouville problem with mixed boundary conditions
Dmitri Chelkak, Evgeny Korotyaev
Consider the operator $H\p=-\p''+q\p=ł\p$, $\p(0)=0$, $\p'(1)+b\p(1)=0$ acting in , where is a real potential. Let , , be the eigenvalue…
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.