Evans Functions, Jost Functions, and Fredholm Determinants
Dynamical Systems
2007-05-23 v1 Spectral Theory
Abstract
The principal results of this paper consist of an intrinsic definition of the Evans function in terms of newly introduced generalized matrix-valued Jost solutions for general first-order matrix-valued differential equations on the real line, and a proof of the fact that the Evans function, a finite-dimensional determinant by construction, coincides with a modified Fredholm determinant associated with a Birman-Schwinger-type integral operator up to a nonvanishing factor.
Keywords
Cite
@article{arxiv.math/0511372,
title = {Evans Functions, Jost Functions, and Fredholm Determinants},
author = {Fritz Gesztesy and Yuri Latushkin and Konstantin A. Makarov},
journal= {arXiv preprint arXiv:math/0511372},
year = {2007}
}
Comments
53 pages