CONVEX HYPERSURFACES OF FINITE-TYPE AND THE ASYMPTOTICS OF THEIR FOURIER-TRANSFORMS

被引：25

作者：

SCHULZ, H

机构：

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1991年 / 40卷 / 04期

关键词：

D O I：

10.1512/iumj.1991.40.40056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a smooth measure supported on a convex hypersurface of finite type, we discuss the asymptotic expansion of its Fourier transform; in particular, we obtain an explicit representation of the leading term. The proof relies on a detailed description of the Taylor expansions of smooth convex functions.

引用

页码：1267 / 1275

页数：9

共 50 条

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