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math-ph2014★ 1 cited
Exceptional points in Faddeev scattering problem
Evgeny Lakshtanov, Boris Vainberg
Exceptional points are values of the spectral parameter for which the homogeneous Faddeev scattering problem has a non-trivial solution. We study the existence/absence of exception…
math-ph2014
Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues
Evgeny Lakshtanov, Boris Vainberg
We consider the interior transmission eigenvalue (ITE) problem, which arises when scattering by inhomogeneous media is studied. The ITE problem is not self-adjoint. We show that po…