Spectral problems of non-self-adjoint q-Sturm-Liouville operators in limit-point case
Spectral problems of non-self-adjoint q-Sturm-Liouville operators in limit-point case
In this study, dissipative singular q-Sturm-Liouville operators are studied in the Hilbert space $\mathscr{L}_{r,q}^{2}$(Rq,+), that the extensions of a minimal symmetric operator in limit-point case. We construct a self-adjoint dilation of the dissipative operator together with its incoming and outgoing spectral representations so that we can determine the scattering function …