In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.
Allahverdiev, B., & Tuna, H. (2019). Eigenfunction expansion in the singular case for q-Sturm-Liouville operators. Caspian Journal of Mathematical Sciences, 8(2), 91-102. doi: 10.22080/cjms.2018.13943.1339
MLA
Bilender Allahverdiev; Huseyin Tuna. "Eigenfunction expansion in the singular case for q-Sturm-Liouville operators". Caspian Journal of Mathematical Sciences, 8, 2, 2019, 91-102. doi: 10.22080/cjms.2018.13943.1339
HARVARD
Allahverdiev, B., Tuna, H. (2019). 'Eigenfunction expansion in the singular case for q-Sturm-Liouville operators', Caspian Journal of Mathematical Sciences, 8(2), pp. 91-102. doi: 10.22080/cjms.2018.13943.1339
VANCOUVER
Allahverdiev, B., Tuna, H. Eigenfunction expansion in the singular case for q-Sturm-Liouville operators. Caspian Journal of Mathematical Sciences, 2019; 8(2): 91-102. doi: 10.22080/cjms.2018.13943.1339