TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS

被引：0
|
作者：
Brackx, F. [1 ]
Eelbode, D. [2 ]
Raeymaekers, T. [1 ]
Van De Voorde, L. [1 ]
机构：
[1] Univ Ghent, Fac Engn, Dept Math Anal, Clifford Res Grp, Ghent, Belgium
[2] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2011年 / 22卷 / 06期
关键词：
Clifford analysis; several variables; higher spin operators; monogenics; REPRESENTATIONS;
D O I：
10.1142/S0129167X11007021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the Clifford analysis context a specific type of solution for the higher spin Dirac operators Q(k,l) (k >= l is an element of N) is studied; these higher spin Dirac operators can be seen as generalizations of the classical Rarita-Schwinger operator. To that end subspaces of the space of triple monogenic polynomials are introduced and their algebraic structure is investigated. Also a dimensional analysis is carried out.
引用
收藏
页码：759 / 774
页数：16
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