k-Dirac operator and the Cartan-Kahler theorem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10333549" target="_blank" >RIV/00216208:11320/13:10333549 - isvavai.cz</a>
Result on the web
<a href="http://dml.cz/bitstream/handle/10338.dmlcz/143557/ArchMathRetro_049-2013-5_7.pdf" target="_blank" >http://dml.cz/bitstream/handle/10338.dmlcz/143557/ArchMathRetro_049-2013-5_7.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5817/AM2013-5-333" target="_blank" >10.5817/AM2013-5-333</a>
Alternative languages
Result language
angličtina
Original language name
k-Dirac operator and the Cartan-Kahler theorem
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archivum Mathematicum [online]
ISSN
1212-5059
e-ISSN
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Volume of the periodical
2013
Issue of the periodical within the volume
49
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
14
Pages from-to
333-346
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84892957869