Title
Fischer decomposition in symplectic harmonic analysis Fischer decomposition in symplectic harmonic 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
46(2014) :4 , p. 409-430
ISSN
0232-704X
ISI
000345135400005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In the framework of quaternionic Clifford analysis in Euclidean space , which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the Fischer decomposition of the space of complex valued polynomials is obtained in terms of spaces of so-called (adjoint) symplectic spherical harmonics, which are irreducible modules for the symplectic group Sp. Its Howe dual partner is determined to be sl(2, C) circle plus sl(2, C) = so(4, C)..
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https://repository.uantwerpen.be/docman/iruaauth/9f67a3/775122127.pdf
Handle