On the accelerants of non-self-adjoint Dirac operators

TL;DR

This paper establishes a homeomorphism between accelerants and potentials for non-self-adjoint Dirac operators, advancing the understanding of their spectral theory and inverse problems.

Contribution

It introduces a novel correspondence between accelerants and potentials, providing new insights into the structure of non-self-adjoint Dirac operators.

Findings

Homeomorphism between accelerants and potentials established

Enhanced understanding of spectral properties of non-self-adjoint Dirac operators

Potential applications in inverse spectral problems

Abstract

We prove that there is a homeomorphism between the space of accelerants and the space of potentials of non-self-adjoint Dirac operators on a finite interval.