The Mobius inversion formula and inverting lattice sums

被引：0
|
作者：
Millane, RP [1 ]
机构：
[1] Univ Canterbury, Dept Elect & Elect Engn, Christchurch 1, New Zealand
来源：
IMAGE RECONSTRUCTION FROM INCOMPLETE DATA | 2000年 / 4123卷
关键词：
Mobius inversion; lattice sums;
D O I：
10.1117/12.409278
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The Mobius inversion formula is an interesting theorem from number theory that has application to a number inverse problems, particularly inverse lattice problems. Specific inverse problems, however, often require related Mobius inversion formulae that can be derived from the fundamental formula. Derivation of such formulae is not easy for the non-specialist, however. Examples of the kinds of inversion formulae that can be derived and their application to inverse lattice problems are described.
引用
收藏
页码：261 / 268
页数：4
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