Result: Clifford Analysis: History and Perspective: Clifford analysis: History and perspective

Title:
Clifford Analysis: History and Perspective: Clifford analysis: History and perspective
Authors:
Richard Delanghe
Source:
Computational Methods and Function Theory. 1:107-153
Publisher Information:
Springer Science and Business Media LLC, 2001.
Publication Year:
2001
Subject Terms:
monogenic functions, Functions of hypercomplex variables and generalized variables, 0103 physical sciences, harmonic analysis, 0101 mathematics, 01 natural sciences, Clifford analysis, Clifford algebras
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
2195-3724
1617-9447
DOI:
10.1007/bf03320981
Access URL:
https://link.springer.com/article/10.1007%2FBF03320981
https://biblio.ugent.be/publication/697368
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....d4fb7d19a96c61483846df5e98f6b65c
Database:
OpenAIRE

Further Information

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.