Eigenfunction expansion in the singular case for q-Sturm-Liouville operators

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.

کلیدواژه ها:

q-Sturm-Liouville operator ، singular point ، Parseval equality ، spectral function