Clifford algebra and spinor-valued functions : a function theory for the Dirac operator
Author(s)
Bibliographic Information
Clifford algebra and spinor-valued functions : a function theory for the Dirac operator
（Mathematics and its applications, v. 53）
Kluwer Academic Publishers, c1992
Available at / 31 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:512/d3732070295326
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Floppy disk in pocket
Bibliogrpahy: p. 477-482
Includes index
Description and Table of Contents
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. In chapter 4 the concept of monogenic differential forms is generalized to the case of spin-manifolds. Chapter 5 deals with analysis on homogeneous spaces, and shows how Clifford analysis may be connected with the Penrose transform. The volume concludes with some appendices which present basic results relating to the algebraic and analytic structures discussed. These are made accessible for computational purposes by means of computer algebra programmes written in REDUCE and are contained on an accompanying floppy disk.
Table of Contents
- Clifford algebras over lower dimensional Euclidean spaces
- Clifford algebras and spinor spaces
- monogenic functions
- special functions and methods
- monogenic differential forms and residues
- Clifford analysis and the Penrose transform.
by "Nielsen BookData"
