Publication
Title
Higgs algebras in classical harmonic analysis
Author
Abstract
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.
Language
English
Source (journal)
Complex analysis and operator theory
Complex Analysis and Operator Theory
Publication
2024
ISSN
1661-8254
DOI
10.1007/S11785-023-01458-1
Volume/pages
18 :3 (2024) , p. 1-15
Article Reference
42
ISI
001172966500001
Full text (Publisher's DOI)
Full text (open access)
The author-created version that incorporates referee comments and is the accepted for publication version Available from 01.09.2024
Full text (publisher's version - intranet only)
UAntwerpen
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Publications with a UAntwerp address
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Creation 06.03.2024
Last edited 02.04.2024
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