|
Title
|
|
|
|
Factorization of Laplace operators on higher spin representations
|
|
|
Author
|
|
|
|
|
|
|
Abstract
|
|
|
|
| This paper deals with the problem of factorizing integer powers of the Laplace operator acting on functions taking values in higher spin representations. This is a far-reaching generalization of the well-known fact that the square of the Dirac operator is equal to the Laplace operator. Using algebraic properties of projections of Stein-Weiss gradients, i.e. generalized Rarita-Schwinger and twistor operators, we give a sharp upper bound on the order of polyharmonicity for functions with values in a given representation with half-integral highest weight. |
|
|
|
Language
|
|
|
|
English
|
|
|
Source (journal)
|
|
|
|
Complex analysis and operator theory. - Basel, 2007, currens
|
|
|
Publication
|
|
|
|
Basel
:
Birkhäuser Verlag AG
,
2012
|
|
|
ISSN
|
|
|
|
1661-8254
[print]
1661-8262
[online]
|
|
|
DOI
|
|
|
|
10.1007/S11785-011-0215-5
|
|
|
Volume/pages
|
|
|
|
6
:5
(2012)
, p. 1011-1023
|
|
|
ISI
|
|
|
|
000310225000003
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (publisher's version - intranet only)
|
|
|
|
|
|