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Title
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Fischer decomposition in symplectic harmonic analysis
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Annals of global analysis and geometry. - Berlin, 1983, currens
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Publication
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Berlin
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2014
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ISSN
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0232-704X
[print]
1572-9060
[online]
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DOI
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10.1007/S10455-014-9431-3
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Volume/pages
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46
:4
(2014)
, p. 409-430
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ISI
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000345135400005
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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