- Turkish Journal of Mathematics
- Vol: 42 Issue: 3
- An expansion theorem for $q$-Sturm-Liouville operators on the whole line
An expansion theorem for $q$-Sturm-Liouville operators on the whole line
Authors : Bilender Paşaoğlu Allahverdiev, Hüseyin Tuna
Pages : 1060-1071
View : 8 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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