000			01434 a2200253 4500
999			_c54419 _d54419
008			210324b ||||| |||| 00| 0 eng d
020			_a9780521071987
082			_a512.57 _bGIL
100			_aGilbert, J.
245			_aClifford algebras and dirac operators in harmonic analysis
260			_bCambridge University Press, _c1991. _aCambridge:
300			_avi, 334 p. : ill. ; _bpb. ; _c23 cm.
365			_aGBP _b58.99
440			_aCambridge studies in advanced mathematics ; 26
504			_aIncludes bibliographical references (p. [321]-327) and index.
520			_aThe 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 all play a more fundamental role in Euclidean Fourier analysis than has been fully realized before. Their presentation of the Euclidean theory then links up naturally with the representation theory of semi-simple Lie groups. By keeping the treatment relatively simple, the book will be accessible to graduate students, yet the more advanced reader will also appreciate the wealth of results and insights made available here.
650			_aHarmonic analysis
650			_aClifford algebras
650			_aDirac equation
650			_aGlobal analysis (Mathematics)
650			_aEuclidean space
700			_aMurray, Margaret Anne Marie
942			_2ddc _cTD