English

On the trace formula for higher-order ODO

Spectral Theory 2019-05-22 v1

Abstract

A first order trace formula is obtained for a higher-order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite complex-valued measure. For the operators of even order n4n\ge4 a new term in the final formula is discovered.

Keywords

Cite

@article{arxiv.1905.08558,
  title  = {On the trace formula for higher-order ODO},
  author = {E. D. Galkovskii and A. I. Nazarov},
  journal= {arXiv preprint arXiv:1905.08558},
  year   = {2019}
}

Comments

25 pages

R2 v1 2026-06-23T09:15:05.062Z