Title
On the fundamental solution for higher spin Dirac operators On the fundamental solution for higher spin Dirac operators
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Source (journal)
Journal of mathematical analysis and applications. - New York, N.Y.
Volume/pages
405(2013) :2 , p. 555-564
ISSN
0022-247X
ISI
000320288500020
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper, we will determine the fundamental solution for the higher spin Dirac operator Q(lambda), which is a generalisation of the classical Rarita-Schwinger operator to more complicated irreducible (half-integer) representations for the spin group in in dimensions. This will allow us to generalise the Stokes theorem, the Cauchy-Pompeiu theorem and the Cauchy integral formula, which lie at the very heart of the function theory behind arbitrary elliptic higher spin operators. (c) 2013 Elsevier Inc. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/884377/c544511.pdf
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