Schwartz Functions on Real Algebraic Varieties

被引：4

作者：

Elazar, Boaz ^{[1
]}

Shaviv, Ary ^{[1
]}

机构：

[1] Weizmann Inst Sci, Fac Math & Comp Sci, IL-76100 Rehovot, Israel

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2018年 / 70卷 / 05期

关键词：

real algebraic geometry; Schwartz function; tempered distribution; WHITNEYS EXTENSION PROBLEM; SUBANALYTIC SETS;

D O I：

10.4153/CJM-2017-042-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define Schwartz functions, tempered functions, and tempered distributions on (possibly singular) real algebraic varieties. We prove that all classical properties of these spaces, defined previously on affine spaces and on Nash manifolds, also hold in the case of affine real algebraic varieties, and give partial results for the non-affine case.

引用

页码：1008 / 1037

页数：30

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