4 citations · 6 across the 5 of their papers we have counts for
6 papers
Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point
M. Hitrik, J. Sjoestrand
This is the third in a series of works devoted to spectral asymptotics for non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2. We assume t…
Diophantine tori and spectral asymptotics for non-selfadjoint operators
Michael Hitrik, Johannes Sjoestrand, San Vu Ngoc
We study spectral asymptotics for small non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2, assuming that the classical flow of the unpert…
Boundary spectral behaviour for semiclassical operators in one dimension
Michael Hitrik
For a class of non-selfadjoint semiclassical operators in dimension one, we get a complete asymptotic description of all eigenvalues near a critical value of the leading symbol of…
Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions II. Vanishing Averages
Michael Hitrik, Johannes Sjoestrand
This is the second in a series of works devoted to small non-selfadjoint perturbations of selfadjoint semiclassical pseudodifferential operators in dimension 2. As in our previous…
Eigenfrequencies and expansions for damped wave equations
Michael Hitrik
We study eigenfrequencies and propagator expansions for damped wave equations on compact manifolds. Under the assumption of geometric control, the propagator is shown to admit an e…
Regularized traces and Taylor expansions for the heat semigroup
Michael Hitrik, Iosif Polterovich
We compute the coefficients in asymptotics of regularized traces and associated trace (spectral) distributions for Schrodinger operators, with short and long range potentials. A ke…