English

On the basis property of the root function systems of regular boundary value problems for the Sturm-Liouville operator

Spectral Theory 2007-05-23 v1

Abstract

We consider the nonselfadjoint Sturm-Liouville operator Lu=u''-q(x)u with regular but not strongly regular boundary conditions, where q(x)is an arbitrary complex-valued summable function. We examine the basis property for the root function system of the mentioned operator.

Keywords

Cite

@article{arxiv.math/0603419,
  title  = {On the basis property of the root function systems of regular boundary value problems for the Sturm-Liouville operator},
  author = {Alexander Makin},
  journal= {arXiv preprint arXiv:math/0603419},
  year   = {2007}
}

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Submitted to Differ. Uravn