International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 843562, 13 pages
http://dx.doi.org/10.1155/2012/843562
Review Article

On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator

Alexander S. Makin

Moscow State University of Instrument Engineering and Computer Science, Stromynka 20, Moscow 107996, Russia

Received 26 March 2012; Revised 23 May 2012; Accepted 27 May 2012

Academic Editor: H. Srivastava

Copyright © 2012 Alexander S. Makin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered.