An abstract inverse problem for boundary triples with an application to the Friedrichs Model
Spectral Theory
2014-12-08 v2
Abstract
We discuss the detectable subspaces of an operator. We analyse the relation between the M-function (the abstract Dirichlet to Neumann map) and the resolvent bordered by projections onto the detectable subspaces. The abstract results are explored further by an extensive study of the Friedrichs model, together with illustrative applications to the Schroedinger and Hain-Luest-type models.
Keywords
Cite
@article{arxiv.1404.6820,
title = {An abstract inverse problem for boundary triples with an application to the Friedrichs Model},
author = {B. M. Brown and M. Marletta and S. N. Naboko and I. G. Wood},
journal= {arXiv preprint arXiv:1404.6820},
year = {2014}
}
Comments
53 pages, 3 figures