4 papers
Complex analytic theory of Sturm-Liouville operators with Schatten -class resolvents
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
We use the theory of entire functions of finite order to prove a universal spectral dependence of the blowup/decay rate of solutions of the Sturm-Liouville eigenvalue equation for…
-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
This work develops an analytic framework for the study of the -function associated with general sequences of complex numbers. We show that a contour integral representation, co…
The exotic structure of the spectral -function for the Schrödinger operator with Pöschl--Teller potential
Guglielmo Fucci, Jonathan Stanfill
This work focuses on the analysis of the spectral -function associated with a Schrödinger operator endowed with a Pöschl--Teller potential. We construct the spectral -fun…
The spectral -function for quasi-regular Sturm--Liouville operators
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
In this work we analyze the spectral -function associated with the self-adjoint extensions, , of quasi-regular Sturm--Liouville operators that are bounded from below.…