|
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)
|
|
|
|
|
|