Introduction to Clifford analysis
Professor
Frank Sommen
Department
of Mathematical Analysis
Ghent
University,
Belgium
Abstract
We
begin by presenting the definition of the standard Clifford algebra and its
most important basic properties. Then we introduce the Cauchy-Riemann-Dirac
operator on Euclidean space and illustrate how Cauchy's theorem and formula
looks like and how one can obtain special null solutions (monogenic functions)
using the Cauchy-Kowalewski extension principle. Then
we say a few words about homogeneous polynomial solutions (spherical monogenics) and we discuss special monogenic functions of
axial type and plane wave decompositions.
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Date: |
May 13, 2005 (Friday) |
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Time: |
2:00 – 3:00pm |
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Place: |
Room 517, Meng
Wah Complex |
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All are welcome |