An expansion theorem for $q$-Sturm-Liouville operators on the wholeline

Authors

BİLENDER PAŞAOĞLU ALLAHVERDİEV
HÜSEYİN TUNA

DOI

10.3906/mat-1705-22

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.

Keywords

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

First Page

1060

Last Page

1071

Recommended Citation

ALLAHVERDİEV, BİLENDER PAŞAOĞLU and TUNA, HÜSEYİN (2018) "An expansion theorem for $q$-Sturm-Liouville operators on the wholeline," Turkish Journal of Mathematics: Vol. 42: No. 3, Article 26. https://doi.org/10.3906/mat-1705-22
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/26