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Clifford Algebra and Spinor-valued Functions

Clifford Algebra and Spinor-valued Functions PDF Author: Richard Delanghe
Publisher: Springer Science & Business Media
ISBN:
Category : Mathematics
Languages : en
Pages : 518

Book Description
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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