Roger Nichols

activity

20102023

most citedInverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials

30 citations · 91 across the 25 of their papers we have counts for

collaborators

Showing 2021 · math.SPShow all

3 papers · 2 filters

math.SP2021

Donoghue $m$ -functions for singular Sturm--Liouville operators

Fritz Gesztesy, Lance L. Littlejohn, Roger Nichols +2

Let $A ˙$ be a densely defined, closed, symmetric operator in the complex, separable Hilbert space $H$ with equal deficiency indices and denote by $\mathcal{N}_i = \ke…

math.SP2021★ 3 cited

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…

math.SP2021

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 $R \ {0}$ for the free massless Dirac operator, $H_{0} = α \cdot (- i \nabla)$ in $[L^2(\mathbb…

Donoghue m-functions for singular Sturm--Liouville operators

On Absence of Threshold Resonances for Schrodinger and Dirac Operators

The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators

Donoghue $m$ -functions for singular Sturm--Liouville operators