Clifford Algebra and Spinor-valued Functions: A Function Theory for the Dirac Operator, Volume 1

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Kluwer Academic Publishers, 1992 - Mathematics - 485 pages
This volume describes the substantial developments in Clifford analysis which have taken place during the last decade and, in particular, the role of the spin group in the study of null solutions of real and complexified Dirac and Laplace operators. The book has six main chapters. The first two (chapters 0 and 1) present classical results on real and complex Clifford algebras and show how lower-dimensional real Clifford algebras are well-suited for describing basic geometric notions in Euclidean space. Chapters 2 and 3 illustrate how Clifford analysis extends and refines the computational tools available in complex analysis in the plane or harmonic analysis in space.

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Contents

Editors Preface
7
Clifford algebras over lower dimensional Euclidean spaces
11
2
33
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