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The essential spectrum of canonical systems

Spectral Theory 2019-08-07 v1 Mathematical Physics math.MP

Abstract

We study the minimum of the essential spectrum of canonical systems Ju=zHuJu'=-zHu. Our results can be described as a generalized and more quantitative version of the characterization of systems with purely discrete spectrum, which was recently obtained by Romanov and Woracek [6]. Our key tool is oscillation theory.

Cite

@article{arxiv.1908.02266,
  title  = {The essential spectrum of canonical systems},
  author = {Christian Remling and Kyle Scarbrough},
  journal= {arXiv preprint arXiv:1908.02266},
  year   = {2019}
}
R2 v1 2026-06-23T10:41:16.579Z