GENERALIZED MOBIUS TRANSFORMS FOR INVERSE PROBLEMS

被引：15

作者：

REN, SY ^{[1
]}

DOW, JD ^{[1
]}

机构：

[1] UNIV NOTRE DAME,DEPT PHYS,NOTRE DAME,IN 46556

来源：

PHYSICS LETTERS A | 1991年 / 154卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(91)90808-L

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An inverse formula is given for a new, generalized Mobius transform G(x, y, ...) = SIGMA-n = 1 infinity SIGMA-m = 1 infinity ... F (n-alpha-x, m-beta-y, ...), namely F(x, y, ...) = SIGMA-n = 1 infinity SIGMA-m = 1 infinity ... mu(n)mu(m)G(n-alpha-x, m-beta-y, ...). In the case of one dimension and alpha = -1, this reduces to the Chen-Mobius transform which has been applied to the inverse black-body radiation problem. For alpha = +1 this becomes the Hardy-Wright-Mobius transform.

引用

页码：215 / 216

页数：2