|
Organizers |
Singular integrals and perturbation theory
by
Sergei Treil
Brown University
Coauthors: Constanze Liaw
The theory of singular integral operators, in particular, a theorem by Arocena – Cotlar – Sadosky about two weight estimates of Hilbert transform is applied to the investigation of delicate spectral properties in perturbation theory of self-adjoint operators. As an application new result about the absence of the embedded singular spectrum for rank one perturbations is obtained.
The talk is based on a joint work with C. Liaw.
Date received: January 30, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-28.