Title
Triple monogenic functions and higher spin Dirac operators Triple monogenic functions and higher spin Dirac operators
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Singapore ,
Subject
Mathematics
Source (journal)
International journal of mathematics. - Singapore
Volume/pages
22(2011) :6 , p. 759-774
ISSN
0129-167X
ISI
000291948500002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In the Clifford analysis context a specific type of solution for the higher spin Dirac operators $\mathcal{Q}_{k,l} (k \geq l \in \mathbb{N})$ 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.
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