| Title:
|
$k$-Dirac operator and the Cartan-Kähler theorem (English) |
| Author:
|
Salač, Tomáš |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
49 |
| Issue:
|
5 |
| Year:
|
2013 |
| Pages:
|
333-346 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We apply the Cartan-Kähler theorem for the k-Dirac operator studied in Clifford analysis and to the parabolic version of this operator. We show that for $k=2$ the tableaux of the first prolongations of these two operators are involutive. This gives us a new characterization of the set of initial conditions for the 2-Dirac operator. (English) |
| Keyword:
|
Clifford analysis |
| Keyword:
|
parabolic Dirac operator |
| Keyword:
|
Cartan-Kähler theorem |
| MSC:
|
53C27 |
| MSC:
|
58A15 |
| MSC:
|
58A17 |
| idZBL:
|
Zbl 06383795 |
| idMR:
|
MR3159332 |
| DOI:
|
10.5817/AM2013-5-333 |
| . |
| Date available:
|
2014-01-16T11:21:56Z |
| Last updated:
|
2015-03-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143557 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
[9] Salač, T.: k-Dirac operator and parabolic geometries.Complex Analysis and Operator Theory.Complex Analysis and Operator Theory, SP Birkhäuser Verlag Basel, 2013. DOI: http://dx.doi.org/10.1007/s11785-013-0292-8 MR 3160805 |
| Reference:
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