English

On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems

Spectral Theory 2014-07-02 v1

Abstract

In this paper, we consider the nonselfadjoint Sturm Liouville operator with and either periodic, or antiperiodic boundary conditions. We obtain necessary and sufficient conditions for systems of root functions of these operators to be a Riesz basis in in terms of the Fourier coefficients of q.

Keywords

Cite

@article{arxiv.1407.0216,
  title  = {On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems},
  author = {Alp Arslan Kirac},
  journal= {arXiv preprint arXiv:1407.0216},
  year   = {2014}
}