5 citations · 8 across the 6 of their papers we have counts for
11 papers
Weak convergence of spectral shift functions revisited
Carson Connard, Benjamin Ingimarson, Roger Nichols +1
We study convergence of the spectral shift function for the finite interval restrictions of a pair of full-line Schrödinger operators to an interval of the form with…
Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm-Liouville operators
Fritz Gesztesy, Roger Nichols
Using the variational characterization of the principal (i.e., smallest) eigenvalue below the essential spectrum of a lower semibounded self-adjoint operator, we prove strict domai…
The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator
Minsung Cho, Seth Hoisington, Roger Nichols +1
We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression o…
On Absence of Threshold Resonances for Schrodinger and Dirac Operators
Fritz Gesztesy, Roger Nichols
Using a unified approach employing a homogeneous Lippmann-Schwinger-type equation satisfied by resonance functions and basic facts on Riesz potentials, we discuss the absence of th…
The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators
Alan Carey, Fritz Gesztesy, Galina Levitina +3
We derive a limiting absorption principle on any compact interval in for the free massless Dirac operator, in $[L^2(\mathbb…
A survey of some norm inequalities
Fritz Gesztesy, Roger Nichols, Jonathan Stanfill
We survey some classical norm inequalities of Hardy, Kallman, Kato, Kolmogorov, Landau, Littlewood, and Rota of the type \[ \|A f\|_{\mathcal{X}}^2 \leq C \|f\|_{\mathcal{X}} \big\…