Abstract
Finite Hankel matrices [ s i+ j ] are considered, for which s i are the Markov parameters of a given rational function p(λ)/ a(λ). The problems of inversion and kernel description are reduced to the problem of solving some polynomial congruences in terms of p(λ) and a(λ). An application to Hankel matrices of the form [ y T C i+ j a x], where C a is a companion matrix, is included.
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