TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS-Reference-Cited by-同舟云学术

TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS

Published:2011-06 Issue:06 Volume:22 Page:759-774
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

BRACKX F.¹,EELBODE D.²,RAEYMAEKERS T.¹,DE VOORDE L. VAN¹

Affiliation:

1. Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Belgium

2. Department of Mathematics and Computer Science, University of Antwerp, Campus Middelheim, G-Building, Middelheimlaan 1, 2020 Antwerpen, Belgium

Abstract

In the Clifford analysis context a specific type of solution for the higher spin Dirac operators [Formula: see text] 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11007021

Reference19 articles.

1. Fundaments of Hermitean Clifford Analysis Part I: Complex Structure

2. Research Notes in Mathematics;Brackx F.,1982

3. Stein–Weiss Operators and Ellipticity

4. Rarita–Schwinger Type Operators in Clifford Analysis

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