Topics of Measure Theory on Infinite Dimensional Spaces

被引：3

作者：

Velhinho, Jose ^{[1
]}

机构：

[1] Univ Beira Interior, Fac Ciencias, Rua Marques dAvila E Bolama, P-6201001 Covilha, Portugal

来源：

MATHEMATICS | 2017年 / 5卷 / 03期

关键词：

measure; infinite dimensional space; nuclear space; projective limit; INVARIANT; SUPPORT;

D O I：

10.3390/math5030044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation properties of measures are considered, as well as fundamental results concerning the support of the measure.

引用

页数：25

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