论文标题
一维厚分布理论的重建
Reconstruction of the one-dimensional thick distribution theory
论文作者
论文摘要
近年来构建了厚分布理论(在维度1和更高维度中)[7,27]。但是,该分布理论具有一个厚度一个厚度的分布理论与更高维度的分布理论与较高的分布理论大不相同。在本文中,作者使用渐近分析的语言来重建一维厚的分布理论,并将其纳入高维厚分布理论的框架中。本文以不同的方式观看奇异函数出现了一些新的概念和有趣的结果。
The theory of thick distributions (both in dimension 1 and in higher dimensions) was constructed in recent years [7, 27]. However this theory of distributions with one thick point in dimension one is very different from that in higher dimensions. In this paper the author uses the language of asymptotic analysis to reconstruct the 1-dimensional thick distribution theory and to incorporate it into the framework of the higher-dimensional thick distribution theory. Some new concepts and interesting results appear in this paper from viewing singular functions in a different way.