Title
Total Rarita-Schwinger operators in Clifford analysis Total Rarita-Schwinger operators in Clifford analysis
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Berlin ,
Subject
Mathematics
Source (journal)
Annals of global analysis and geometry. - Berlin
Volume/pages
42(2012) :4 , p. 473-493
ISSN
0232-704X
ISI
000310989600002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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.
E-info
https://repository.uantwerpen.be/docman/iruaauth/da27cd/3022733.pdf
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