Clifford Algebras and Dirac Operators in Harmonic Analysis (Cambridge Studies in Advanced Mathematics Book 26) 1st Edition by J. Gilbert (PDF)

Description

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 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Like this book since I am studying Clifford algebras and Dirac operators now. It is NEW, no any mark on it at all

⭐Useful definitions and theorems. Exactly what I needed.

⭐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, Gürlebeck, Shapiro,…).Its contents are: Clifford algebras, Dirac operators and Clifford analyticity, representations of Spin(V,Q), constant coefficient operators of Dirac type, Dirac operators and manifolds.Presents motivation for each section and extensive references. A must-reading to become a speciallist in this area. Suitable for graduate students and researchers.Please read the rest of my reviews (just click on my name above).

⭐An excellent text, bringing together a wide range of views of both Clifford algebras and analysis techniques, and a good basis of rigour to applications. Ambitious but realistically entailed to give a good flavour of the obstacles and strategies necessary, and pointers to good, accessible but even deeper sources.And it has the great strength of all really good texts, of explaining where it’s going and why, rather than pulling rabbits from hats in a magic show.

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