8 citations · 25 across the 18 of their papers we have counts for
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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 -functio…
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…
Factorizations and Power Weighted Rellich and Hardy--Rellich-Type Inequalities
Fritz Gesztesy, Michael M. H. Pang, Jake Parmentier +1
We revisit and extend a variety of inequalities related to power weighted Rellich and Hardy--Rellich inequalities, including an inequality due to Schmincke.
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. B…
Logarithmic Refinements of a Power Weighted Hardy--Rellich-Type Inequality
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy--Rellich inequality on -dimensional balls, valid for the largest variety of u…
Finer limit circle/limit point classification for Sturm-Liouville operators
Mateusz Piorkowski, Jonathan Stanfill
In this paper we introduce an index which we call the `regularization index' associated to the endpoints, , of no…