On Primitives and Conjugate Harmonic Pairs in Hermitian Clifford Analysis

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189988" target="_blank" >RIV/00216208:11320/13:10189988 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11785-012-0278-y" target="_blank" >http://dx.doi.org/10.1007/s11785-012-0278-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11785-012-0278-y" target="_blank" >10.1007/s11785-012-0278-y</a>

Result language
angličtina
Original language name
On Primitives and Conjugate Harmonic Pairs in Hermitian Clifford Analysis
Original language description
The notion of a conjugate harmonic pair in the context of Hermitian Clifford analysis is introduced as a pair of specific harmonic functions summing up to a Hermitian monogenic function in an open region of . Hermitian monogenic functions are special monogenic functions, which are at the core of so-called Clifford analyis, a straightforward generalization to higher dimension of the holomorphic functions in the complex plane. Under certain geometric conditions on the conjugate harmonic to a given specific harmonic is explicitly constructed and the potential or primitive of a Hermitian monogenic function is determined.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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