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, 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
