%0 Journal Article %T On periodic boundary value problem for the Sturm-Liouville operator %A Alexander Makin %J Mathematics %D 2006 %I arXiv %R 10.1063/1.2034979 %X We consider the Sturm-Liouville operator Lu=u''-q(x)u with periodic or antiperiodic boundary conditions. It is shown that depending of Fourier coefficients of the potential q(x) the system of root functions may have or may not have the basis property. %U http://arxiv.org/abs/math/0601436v1