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arxiv: 1112.3219 · v1 · pith:ZML6ZFOVnew · submitted 2011-12-14 · 🧮 math.SP · math.CV

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

classification 🧮 math.SP math.CV
keywords classmatricesdiagonalperiodicspectralsurfacesclassesdescription
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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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