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.
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页码：129 / 138
页数：10
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