Clifford analysis: History and perspective. (English) Zbl 1011.30045
This is a very readable exposition of Clifford analysis, a flourishing theory which has been developped for a great part by the author and his coworkers. The first part deals with Clifford algebras, their groups, and Möbius transformations.The second part gives the fundamentals of Clifford analysis, the Dirac and Weyl operators, monogenic functions, their integral formulas and the series expansions. Part 3 is dealing with the connections to harmonic analysis, especially Hardy spaces. This overview can be warmly recommended to all who want to have an overview of Clifford analysis or who wish to get a first acquaintance with the theory.
Reviewer: Klaus Habetha (Aachen)
MSC:
| 30G35 | Functions of hypercomplex variables and generalized variables |
References:
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