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Solution of the Stieltjes truncated moment problem

Adamyan V. M., Tkachenko I. M., Urrea M.

Journal of Applied Analysis

2003

Vol. 9, nr 1

57-74

The conditions of solvability and description of all solutions of the truncated Stieltjes moment problem are obtained using as the starting point earlier results on the Hamburger truncated moment problem. An algebraic algorithm for the explicit solution of both problems is proposed.

The Nevanlinna theorem of the classical theory of moments revisited

Urrea M., Tkachenko I. M., Fernández de Córdoba P.

Journal of Applied Analysis

2001

Vol. 7, nr 2

209-224

The canonical solutions of the truncated Hamburger moment problem (both in the classical and degenerate cases) are found. The Nevanlinna theorem which provides the noncanonical solutions of the truncated Hamburger problem is also rederived in the framework of the operator approach.