This book is helping me a lot with my Ph.D. dissertation. It includes a lot of important results on hypercomplex analysis not usually found in the standard monographs on the subject (Brackx, GΓΌrlebeck, Shapiro,...).<p>Its contents are: Clifford algebras, Dirac operators and Clifford analyticity, r
Clifford Algebras and Dirac Operators in Harmonic Analysis
β Scribed by J. Gilbert, M. Murray
- Publisher
- Cambridge University Press
- Year
- 1991
- Tongue
- English
- Leaves
- 346
- Series
- Cambridge Studies in Advanced Mathematics 26
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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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
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Based on lectures given at an instructional course, this volume enables readers with a basic knowledge of functional analysis to access key research in the field. The authors survey several areas of current interest, making this volume ideal preparatory reading for students embarking on graduate wor
Based on lectures given at an instructional course, this volume enables readers with a basic knowledge of functional analysis to access key research in the field. The authors survey several areas of current interest, making this volume ideal preparatory reading for students embarking on graduate wor