Potentials Associated to Rational Weights
In this paper we consider the problem of building the spectral function of a canonical differential equation when the potential is given. We restrict ourselves to the case where the spectral function is rational. An algorithm is proposed which allows the construction of the spectral function from the values of the potential and of a number of its derivatives at the origin. The approach is based on the solution of the partial realization problem for systems.
KeywordsSpectral Function Rational Weight Laurent Expansion Minimal Realization Riesz Projection
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