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. - Basel, 2007, currens
Publication
Basel : Birkhäuser Verlag AG , 2024
ISSN
1661-8254 [print]
1661-8262 [online]
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
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier
Creation 06.03.2024
Last edited 08.05.2024
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