A formula for the non-integer powers of the laplacian

被引：0
|
作者：
Zhengxu He
机构：
[1] University of California,Department of Mathematics
来源：
Acta Mathematica Sinica | 1999年 / 15卷
关键词：
Laplacian; Power of Laplacian; 46F; 46E;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide an elementary formula for the non-integer powers of the Laplace operator in the Euclidean spaces. Such formulas are helpful in establishing the elliptic nature of some pseudo-differential operators arising from the study of energies of knotted loops in space, and possibly of embedded submanifolds in a Riemannian manifold.
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页码：21 / 24
页数：3
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