Discrete Dirac Operators in Clifford Analysis

被引：0
|
作者：
Nelson Faustino
Uwe Kähler
Frank Sommen
机构：
[1] Campus Universitário de Santiago,Departamento de Matemática
[2] Universiteit Gent,Mathematical Department
来源：
Advances in Applied Clifford Algebras | 2007年 / 17卷
关键词：
Primary 30G35, 30G25; Secondary 05C78; Discrete Dirac operators; spatial quad-graphs; discrete Laplacian;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We develop a constructive framework to define difference approximations of Dirac operators which factorize the discrete Laplacian. This resulting notion of discrete monogenic functions is compared with the notion of discrete holomorphic functions on quad-graphs. In the end Dirac operators on quad-graphs are constructed.
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页码：451 / 467
页数：16
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