On the Solutions of infinite systems of linear equations
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.
Keywords
Cite
@article{arxiv.1310.8201,
title = {On the Solutions of infinite systems of linear equations},
author = {J. L. Hernandez-Pastora},
journal= {arXiv preprint arXiv:1310.8201},
year = {2015}
}
Comments
Accepted for publication in General Relativity and Gravitation