English

Trace formulae and inverse spectral theory for Schr\"odinger operators

Spectral Theory 2008-02-03 v1

Abstract

We extend the well-known trace formula for Hill's equation to general one-dimensional Schr\"odinger operators. The new function ξ\xi, which we introduce, is used to study absolutely continuous spectrum and inverse problems.

Keywords

Cite

@article{arxiv.math/9310229,
  title  = {Trace formulae and inverse spectral theory for Schr\"odinger operators},
  author = {Fritz Gesztesy and Helge Holden and Barry Simon and Zhong Xin Zhao},
  journal= {arXiv preprint arXiv:math/9310229},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-07-22T17:54:32.745Z