Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

The main result of this work is a parametric description of the spectral
surfaces of a class of periodic 5-diagonal matrices, related to the strong
moment problem. This class is a self-adjoint twin of the class of CMV matrices.
Jointly they form the simplest possible classes of 5-diagonal matrices.

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