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Title
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Higgs algebras in classical harmonic analysis
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Author
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Abstract
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| In this paper, we will prove that the reproducing kernels for the spaces of k-homogeneous harmonics can be seen as elements of an infinite-dimensional ladder operator representation for a cubic PAMA (polynomial angular momentum algebra) which is known as the Higgs algebra. This algebra will be shown to be one of two direct summands in a transvector algebra which is related to the harmonic Fischer decomposition in two vector variables. |
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Language
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English
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Source (journal)
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Complex analysis and operator theory. - Basel, 2007, currens
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Publication
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Basel
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Birkhäuser Verlag AG
,
2024
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ISSN
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1661-8254
[print]
1661-8262
[online]
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DOI
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10.1007/S11785-023-01458-1
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Volume/pages
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18
:3
(2024)
, p. 1-15
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Article Reference
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42
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ISI
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001172966500001
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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