Abstract

In this work, we establish a Parseval equality and an expansion formula in eigenfunctions for a singular $q-$Sturm-Liouville operator on the whole line.

DOI

10.3906/mat-1705-22

Keywords

$q$-Sturm-Liouville operator, singular point, Parseval equality, spectral function, eigenfunction expansion

First Page

1060

Last Page

1071

Recommended Citation

ALLAHVERDİEV, B. P, & TUNA, H (2018). An expansion theorem for $q$-Sturm-Liouville operators on the wholeline. Turkish Journal of Mathematics 42 (3): 1060-1071. https://doi.org/10.3906/mat-1705-22

Download