English

0-th Order Pseudo-differential Operator on the Circle

Analysis of PDEs 2019-09-16 v1 Spectral Theory

Abstract

In this paper we consider 0-th order pseudodifferential operators on the circle. We show that inside any interval disjoint from critical values of the principal symbol, the spectrum is absolutely continuous with possibly finitely many embedded eigenvalues. We also give an example of embedded eigenvalues.

Keywords

Cite

@article{arxiv.1909.06316,
  title  = {0-th Order Pseudo-differential Operator on the Circle},
  author = {Zhongkai Tao},
  journal= {arXiv preprint arXiv:1909.06316},
  year   = {2019}
}
R2 v1 2026-06-23T11:14:45.210Z