Characterization of the periodic and antiperiodic spectra of non-self-adjoint Dirac operators
Alexander Makin
TL;DR
This paper establishes the precise conditions under which a sequence of complex numbers can serve as the periodic or antiperiodic spectrum of non-self-adjoint Dirac operators, advancing spectral theory understanding.
Contribution
It provides necessary and sufficient conditions for spectral sequences of non-self-adjoint Dirac operators, a novel characterization in spectral analysis.
Findings
Derived conditions for spectral sequences
Characterized spectra of non-self-adjoint Dirac operators
Enhanced understanding of spectral properties in non-self-adjoint cases
Abstract
The necessary and sufficient conditions are given for a sequence of complex numbers to be the periodic (or antiperiodic) spectrum of non-self-adjoint Dirac operator.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Algebraic and Geometric Analysis · Topological Materials and Phenomena