Constructive nonstandard representations of generalized functions

被引：6

作者：

Palmgren, E ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2000年 / 11卷 / 01期

关键词：

D O I：

10.1016/S0019-3577(00)88579-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using techniques of nonstandard analysis Abraham Robinson showed that it is possible to represent each Schwartz distribution T as an integral T(phi) = integral f phi, where f is some nonstandard smooth function. We show that the theory based on this representation can be developed within a constructive setting.

引用

页码：129 / 138

页数：10

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