Joint PDE and Analysis Seminar
Title: Spectral zeta functions and zeta regularized functional determinants for singular Sturm--Liouville operators
Speaker: Jonathan Stanfill (Baylor University)
Speaker's URL: https://sites.baylor.edu/jonathan-stanfill/
Abstract: We employ a recently developed unified approach to the computation of traces of resolvents and zeta functions to compute spectral zeta functions associated with singular (three-coefficient) self-adjoint Sturm--Liouville differential expressions. We then discuss the zeta regularized functional determinant, illustrating what extends from a recent treatment of regular expressions and what remains open. As an application, we consider the generalized Bessel equation on a finite interval and a regularized singular problem.
