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math.SP2025
Spectral enclosure estimates for non-self-adjoint Dirac operators
Jeffrey Oregero
We study the spectrum of a periodic non-self-adjoint Dirac operator, and its dependence on a semiclassical parameter is also considered. Several bounds on the spectrum are obtained…
math.SP2022★ 4 cited
Elliptic finite-band potentials of a non-self-adjoint Dirac operator
Gino Biondini, Xu-Dan Luo, Jeffrey Oregero +1
We present an explicit two-parameter family of finite-band Jacobi elliptic potentials for a non-self-adjoint Dirac operator which connects two previously known limiting cases in wh…
math.SP2020★ 6 cited
On the spectrum of the periodic focusing Zakharov-Shabat operator
Gino Biondini, Jeffrey Oregero, Alexander Tovbis
The spectrum of the focusing Zakharov-Shabat operator on the circle is studied, and its explicit dependence on the presence of a semiclassical parameter is also considered. Several…