English

Ambarzumian-type mixed inverse spectral problems for Jacobi matrices

Spectral Theory 2025-01-23 v1

Abstract

We investigate Ambarzumian-type mixed inverse spectral problems for Jacobi matrices. Specifically, we examine whether the Jacobi matrix can be uniquely determined by knowing all but the first mm diagonal entries and a set of mm ordered eigenvalues.

Keywords

Cite

@article{arxiv.2501.12530,
  title  = {Ambarzumian-type mixed inverse spectral problems for Jacobi matrices},
  author = {Ethan Luo and Steven Ning and Tarun Rapaka and Xuxuan Joyce Zheng},
  journal= {arXiv preprint arXiv:2501.12530},
  year   = {2025}
}

Comments

6 pages

R2 v1 2026-06-28T21:13:01.291Z