9 citations · 9 across the 2 of their papers we have counts for
6 papers
The Miura Map on the Line
Thomas Kappeler, Peter Perry, Mikhail Shubin +1
The Miura map (introduced by Miura) is a nonlinear map between function spaces which transforms smooth solutions of the modified Korteweg - de Vries equation (mKdV) to solutions of…
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
Y. Kordyukov, V. Mathai, M. Shubin
In this paper, we study a refined L2 version of the semiclassical approximation of projectively invariant elliptic operators with invariant Morse type potentials on covering spaces…
Semiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators
V. Mathai, M. Shubin
In this paper, we study an L2 version of the semiclassical approximation of magnetic Schroedinger operators with invariant Morse type potentials on covering spaces of compact manif…
Discreteness of spectrum for the magnetic Schrödinger operators. I
Vladimir Kondratiev, Mikhail Shubin
We provide sufficient conditions for the discreteness of spectrum for magnetic Schrödinger operators. They generalize the classical result by K.Friedrichs (1934) and earlier result…
Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
Mikhail Shubin
We prove essential self-adjointness for semi-bounded below magnetic Schrödinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed indep…
A sequence of connections and a characterization of Kähler manifolds
Mikhail Shubin
We study a sequence of connections which is associated with a Riemannian metric and an almost symplectic structure on a manifold. We prove that if this sequence is trivial (i.e. co…