| Title:
|
Rarita-Schwinger type operators on spheres and real projective space (English) |
| Author:
|
Li, Junxia |
| Author:
|
Ryan, John |
| Author:
|
Vanegas, Carmen J. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
271-289 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective space and construct their kernels and Cauchy integral formulas. (English) |
| Keyword:
|
spherical Rarita-Schwinger type operators |
| Keyword:
|
Cayley transformation |
| Keyword:
|
real projective space |
| Keyword:
|
Almansi-Fischer decomposition |
| Keyword:
|
Iwasawa decomposition |
| MSC:
|
30G35 |
| MSC:
|
53C27 |
| idMR:
|
MR3007610 |
| DOI:
|
10.5817/AM2012-4-271 |
| . |
| Date available:
|
2012-12-17T13:51:49Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143102 |
| . |
| Reference:
|
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