Communications in Mathematical Analysis

An Algorithm for the Truncated Matrix Hausdorff Moment Problem

Abdon E. Choque Rivero and Sergey M. Zagorodnyuk

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Abstract

In this paper we obtain an algorithm for the truncated matrix Hausdorff moment problem with an odd number of given moments. The coefficients of the corresponding linear fractional matrix transformation can be calculated using the prescribed moments. No conditions besides solvability are assumed for the moment problem. The question of the determinateness of the moment problem is answered by (a part of) the algorithm as well. Several examples are provided.

Article information

Source
Commun. Math. Anal., Volume 17, Number 2 (2014), 108-130.

Dates
First available in Project Euclid: 18 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1418919759

Mathematical Reviews number (MathSciNet)
MR3292963

Zentralblatt MATH identifier
1332.42016

Subjects
Primary: 42C05: Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45] 44A60: Moment problems 47B25: Symmetric and selfadjoint operators (unbounded)

Keywords
Hausdorff matrix moment problem self-adjoint contractive extensions

Citation

Choque Rivero, Abdon E.; Zagorodnyuk, Sergey M. An Algorithm for the Truncated Matrix Hausdorff Moment Problem. Commun. Math. Anal. 17 (2014), no. 2, 108--130. https://projecteuclid.org/euclid.cma/1418919759


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