Title:
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$k$-Dirac operator and the Cartan-Kähler theorem (English) |
Author:
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Salač, Tomáš |
Language:
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English |
Journal:
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Archivum Mathematicum |
ISSN:
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0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
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49 |
Issue:
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5 |
Year:
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2013 |
Pages:
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333-346 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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:
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Clifford analysis |
Keyword:
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parabolic Dirac operator |
Keyword:
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Cartan-Kähler theorem |
MSC:
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53C27 |
MSC:
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58A15 |
MSC:
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58A17 |
idZBL:
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Zbl 06383795 |
idMR:
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MR3159332 |
DOI:
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10.5817/AM2013-5-333 |
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Date available:
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2014-01-16T11:21:56Z |
Last updated:
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2015-03-19 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/143557 |
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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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