Abstract
The basic results of N.I. Achiezer and M.G. Krein from the classical polynomial moment theory are concerned with certain representations of elements of a positive difinite Hankel matrix. These results are generalized to the case of an arbitrary (scalar or block) hermitian Hankel matrix and are shown to be closely related to some factorizations of block Hankel matrices, matrix polynomials, and indefinite scalar products.
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