Total Rarita-Schwinger operators in Clifford analysis

被引：6

作者：

Eelbode, David ^{[1
]}

Van Lancker, Peter ^{[2
]}

机构：

[1] Univ Antwerp, Dept Math, B-2020 Antwerp, Belgium

[2] Univ Coll Ghent, Dept Engn Sci, B-9000 Ghent, Belgium

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2012年 / 42卷 / 04期

关键词：

Rarita-Schwinger operator; Clifford analysis; Fundamental solution;

D O I：

10.1007/s10455-012-9323-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Rarita-Schwinger operators in Clifford analysis can be realized as first-order differential operators acting on functions f(x, u) taking values in the vector space of homogeneous monogenic polynomials. In this paper, the Scasimir operator for the orthosymplectic Lie superalgebra will be used to construct an invariant operator which acts on the full space of functions in two vector variables and therefore has more invariance properties. Also the fundamental solution for this operator will be constructed.

引用

页码：473 / 493

页数：21

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