English

About one inverse problem for a Hill's equation with double eigenvalues

Functional Analysis 2020-03-06 v3 Spectral Theory

Abstract

In this paper, we establish necessary and sufficient conditions for the doubleness all of the eigenvalues, except the lowest, periodic and anti-periodic problems for Hill's equation in terms of the complex-valued potential q(x)q(x).

Cite

@article{arxiv.2001.01650,
  title  = {About one inverse problem for a Hill's equation with double eigenvalues},
  author = {B. N. Biyarov},
  journal= {arXiv preprint arXiv:2001.01650},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T13:04:05.031Z