Applied Hypercomplex Analysis II

 Time and place of the lecture:
Wednesday 14.05 h - 15.35 h, Room A3-301
Start: April 14, 2010
Office hours:
     Friday 10:15-11:15 a.m.

Contents

1. Function theory of eigenfunctions of the Dirac operator in R3

2. Function spaces and integral operators 

3. The Maxwell- and Helmholtz system

4. The incompressible magnetohydrodynamic equations

5. Current research topics  

Description

To be annouced

Requirements

1. Introductory lecture on functions of one complex variable and basic knowledge in real analysis of functions in several real variables

2. Linear algebra I

3. Applied Hypercomplex Analysis I is useful but not a requirement to follow this lecture

Teaching language

German. If the students prefer, this lecture can also be presented in English.

Bibliography

1. K. Gürlebeck, K. Habetha and W. Sprößig: Holomorphic functions in the plane and n-dimensional space (Translation of the German Version "Funktionentheorie in der Ebene und im Raum"), Birkhäuser, Basel, 2008.

2. K. Gürlebeck, W. Sprößig: Quaternionic Analysis and Elliptic Boundary Value Problems, Birkhäuser, Basel 1990

3. K. Gürlebeck, W. Sprößig: Quaternionic and Clifford Calculus for Physicists and Engineers. John Wiley & Sons, Chichester-New York, 1997.

4. R. S. Kraußhar: Generalized Automorphic Forms in Hypercomplex Spaces, Birkhäuser, Basel, 2004

5. Recent research articles

Upfollowing course

Applied Hypercomplex Analysis III (planned for Fall semester 2010/11)

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