Upper bounds on the number of scattering poles and the Lax–Phillips conjecture

Abstract

We obtain a new type of upper bounds on the number of scattering poles which allow to give some sufficent conditions for the Lax-Phillips conjecture (and also the modified one) to hold for a class of compactly supported hypoelliptic perturbations of the Laplace operator in Rⁿ, n≥3 being odd.