output
20052026
most citedWeyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials

121 citations

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8 papers · 1 filter

math.SP2026

Inverse Quantum Potential Reconstruction via Generalized Bertlmann-Martin Inequalities

M. Gage Plott, F. Ayça Çetinkaya, Rick Mukherjee

Reconstructing a radial (1D) quantum potential, V(r), from a few bound-state energies is a long-standing inverse problem because limited spectral data must constrain an entire pote…

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.SP2017★ 9 cited

On the Global Limiting Absorption Principle for Massless Dirac Operators

Alan Carey, Fritz Gesztesy, Jens Kaad +4

We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators for all space dimensions , $…

math.SP2014

On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions

Fritz Gesztesy, Helge Holden, Roger Nichols

We study several natural multiplicity questions that arise in the context of the Birman-Schwinger principle applied to non-self-adjoint operators. In particular, we re-prove (and e…

math.SP2014

Principal Solutions Revisited

Stephen Clark, Fritz Gesztesy, Roger Nichols

The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals , as introduce…

math.SP2012★ 30 cited

Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials

Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1

We discuss inverse spectral theory for singular differential operators on arbitrary intervals associated with rather general differential expressions o…

math.SP2012★ 121 cited

Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials

Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1

We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals associated with rather general differential…

math.SP2012★ 26 cited

Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials

Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1

Building on work on Miura's transformation by Kappeler, Perry, Shubin, and Topalov, we develop a detailed spectral theoretic treatment of Schrödinger operators with matrix-valued p…