6 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…
An elementary approach to integral inequalities involving higher order derivatives
Bart Rosenzweig, Jonathan Stanfill
Motivated by previous work leveraging factorizations of second- and fourth-order differential operators, a general integral inequality involving higher order derivatives is proven…
Maximally dissipative and self-adjoint extensions of -invariant operators
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill
We introduce the notion of -invariant operators, , (in a Hilbert space) with respect to a bounded and boundedly invertible operator defined via . Conditions such…
-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…
Nonnegative extensions of Sturm-Liouville operators with an application to problems with symmetric coefficient functions
Christoph Fischbacher, Jonathan Stanfill
The purpose of this paper is to study nonnegative self-adjoint extensions associated with singular Sturm-Liouville expressions with strictly positive minimal operators. We provide…
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…