Turkish Journal of Mathematics
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