TY  - CONF
A1  - Faustino, Nelson
A2  - Gürlebeck, Klaus
A2  - Könke, Carsten
T1  - FISCHER DECOMPOSITION FOR DIFFERENCE DIRAC OPERATORS
N2  - We establish the basis of a discrete function theory starting with a Fischer decomposition for difference Dirac operators. Discrete versions of homogeneous polynomials, Euler and Gamma operators are obtained. As a consequence we obtain a Fischer decomposition for the discrete Laplacian. For the sake of simplicity we consider in the first part only Dirac operators which contain only forward or backward finite differences. Of course, these Dirac operators do not factorize the classic discrete Laplacian. Therefore, we will consider a different definition of a difference Dirac operator in the quaternionic case which do factorizes the discrete Laplacian.
KW  - Architektur <Informatik>
KW  - CAD
KW  - Computerunterstütztes Verfahren
Y1  - 2006
UR  - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2955
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170327-29551
UR  - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html
ER  -