Publication
Title
Fischer decomposition in symplectic harmonic analysis
Author
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)..
Language
English
Source (journal)
Annals of global analysis and geometry. - Berlin
Publication
Berlin : 2014
ISSN
0232-704X
Volume/pages
46:4(2014), p. 409-430
ISI
000345135400005
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 13.01.2015
Last edited 11.12.2017
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