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Clifford Algebras and Dirac Operators in Harmonic Analysis
John E. GilbertMargaret Anne Marie Murray
出版Cambridge University Press, 1991-07-26
主題Mathematics / Algebra / GeneralMathematics / Algebra / LinearMathematics / CalculusMathematics / Differential Equations / GeneralMathematics / Probability & Statistics / GeneralMathematics / Mathematical Analysis
ISBN05213465419780521346542
URLhttp://books.google.com.hk/books?id=XCKNvgZbxpMC&hl=&source=gbs_api
EBookSAMPLE
註釋The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show how algebra, geometry, and differential equations play a more fundamental role in Euclidean Fourier analysis. They then link their presentation of the Euclidean theory naturally to the representation theory of semi-simple Lie groups.