Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2010 / Cilt: 3 - Sayı: 5
On the basis property in $L_p(0,1)$ of the root functions of a class non self adjoint Sturm-Lioville operators
- Pages
- 831–868
- DOI
- —
Abstract
In the present paper, we prove the basisness of the root functions of the non self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions in space $L_p(0,1), p > 1$. Here we assume that the potential is a complex valued absolutely continuous function in [0,1]. 2000 Mathematics Subject Classifications: 34L10, 34B24, 47E05