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arXiv · 1310.8201

On the Solutions of infinite systems of linear equations

J. L. Hernandez-Pastora
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Abstract

New theorems about the existence of solution for a system of infinite linear equations with a Vandermonde type matrix of coefficients are proved. Some examples and applications of these results are shown. In particular, a kind of these systems is solved and applied in the field of the General Relativity Theory of Gravitation. The solution of the system is used to construct a relevant physical representation of certain static and axisymmetric solution of the Einstein vacuum equations. In addition, a newtonian representation of these relativistic solutions is recovered. It is shown as well that there exists a relation between this application and the classical Haussdorff moment problem.

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J. L. Hernandez-Pastora. 2013-10-30. On the Solutions of infinite systems of linear equations. https://doi.org/10.1007/s10714-013-1622-x

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