English

Absence of eigenvalues for integro-differential operators with periodic coefficients

Spectral Theory 2008-02-12 v1 Functional Analysis

Abstract

Applying perturbation theory methods, the absence of the point spectrum for some nonselfadjoint integro-differential operators is investigated. The considered differential operators are of arbitrary order and act in either Lp(R+)\mathbf{L}_{p}(\mathbb{R}_{+}) or Lp(R)(1p<)\mathbf{L}_{p}(\mathbb{R}) (1\leq p<\infty). As an application of general results, new spectral properties of the perturbed Hill operator are derived.

Keywords

Cite

@article{arxiv.0802.1281,
  title  = {Absence of eigenvalues for integro-differential operators with periodic coefficients},
  author = {Marius Marinel Stanescu and Igor Cialenco},
  journal= {arXiv preprint arXiv:0802.1281},
  year   = {2008}
}
R2 v1 2026-06-21T10:11:09.043Z