On the solutions of infinite systems of linear equations

被引：2
|
作者：
Hernandez-Pastora, J. L. [1 ,2 ,3 ]
机构：
[1] Univ Salamanca, Dept Matemat Aplicada, E-37008 Salamanca, Spain
[2] Univ Salamanca, Inst Univ Fis Fundamental & Matemat, E-37008 Salamanca, Spain
[3] ETS Ingn Ind Bejar, Bejar, Spain
来源：
GENERAL RELATIVITY AND GRAVITATION | 2014年 / 46卷 / 01期
关键词：
Infinite systems of linear equations; Vandermonde matrices; Representations of the Weyl family of solutions; MOMENT PROBLEMS;
D O I：
10.1007/s10714-013-1622-x
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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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页码：1 / 18
页数：18
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