The main part of theses notes from the NATO ASI on microlocal analysis and spectral theory
at Ti Ciocco, Sept.-Oct. 1996, is devoted to a new trace formula for resonances, which is …

The Problem of the Spectral Asymptotics, in particular the problem of the Asymptotic
Distribution of the Eigenvalues, is one of the central problems in the Spectral Theory of …

The problem of spectral asymptotics, in particular the problem of the asymptotic dis tribution
of eigenvalues, is one of the central problems in the spectral theory of partial differential …

Asymptotic distribution of resonances in one dimension Richard Froese1 Page 1 Asymptotic
distribution of resonances in one dimension Richard Froese1 Department of Mathematics …

The purpose of this paper is to establish sharp polynomial bounds on the number of
scattering poles for a general class of compactly supported self-adjoint perturbations of the …

We consider the Laplacian in R^ n perturbed by a finite number of distant perturbations that
are abstract localized operators. We study the asymptotic behaviour of the discrete spectrum …

Stefanov and Vodev 11], 12], obtained a remarkable result which says that for scattering by
compactly supported perturbations in odd dimensional Euclidean space, existence of …

We obtain lower bounds on the number of scattering poles for a class of abstract compactly
supported perturbations of the Laplacian in R n, n odd. They are applied to estimate the …

This paper starts from a nice application of the coupling method to a traditional topic: the
estimation of the spectral gap (= the first non-trivial eigenvalue). Some new variational …

We use a straightforward variation on a recent argument of Hezari and Rivière [8] to obtain
localized L p-estimates for all exponents larger than or equal to the critical exponent pc= 2 …