An Idempotent Approach to Truncated Moment Problems

被引：10

作者：

Vasilescu, Florian-Horia ^{[1
]}

机构：

[1] Univ Lille 1, Dept Math, F-59655 Villeneuve Dascq, France

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2014年 / 79卷 / 03期

关键词：

Square positive functionals; representing measures; idempotents; characters; polynomial interpolation; THEOREM; PROOF;

D O I：

10.1007/s00020-014-2153-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new approach to truncated and full moment problems, via idempotent elements with respect to associated square positive Riesz functionals. The existence of representing measures for such functionals is characterized via some intrinsic conditions.

引用

页码：301 / 335

页数：35