Structure of solutions of polynomial Dirac equations in Clifford analysis
Structure of solutions of polynomial Dirac equations in Clifford analysis
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DOI：
10.1080/02781070310001634593
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发表时间：
2004-01
期刊：
影响因子：
--
通讯作者：
Y. Gong;Tao Qian;D. Y. Du
中科院分区：
文献类型：
--
作者：
Y. Gong;Tao Qian;D. Y. Du
在本文中，研究了多项式狄拉克算子 D−λ Dk 的零解的结构，其中 D 是狄拉克算子，其中 是恒等算子。获得多项式狄拉克算子在各个相关子空间中的零解的显式分解，用于导出它们的泰勒级数展开式。针对一类特殊的R(m)值连续函数g，讨论了非齐次方程p(D)f=g的解。
In this note, structures of null solutions of the polynomial Dirac operators D−λ Dk , are studied, where D is the Dirac operator in is the identity operator. Explicit decompositions of null solutions of the polynomial Dirac operators in the respectively relevant subspaces are obtained which are used to derive their Taylor series expansions. The solutions of inhomogeneous equation p(D)f=g are discussed for a special class of R( m )-valued continuous functions g.