Clifford Algebras in Analysis and Related Topics

Name: Clifford Algebras in Analysis and Related Topics
Brand: CRC Press

CRC Press

This volume is based on a conference entitled \""Clifford Algebras in Analysis\"" held in Fayetteville, Arkansas during the Easter weekend, April 8\u201310th, 1993. The conference deals almost exclusively with the impact of Clifford analysis on harmonic analysis. > This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis.All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and funco