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Cambridge University Press Clifford Algebras and Dirac Operators in Harmonic Analysis

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Description

This advanced mathematics text unites Clifford algebras, manifold analysis, and harmonic analysis into a coherent framework that reveals the fundamental algebraic and geometric structures underlying Euclidean Fourier analysis. The authors demonstrate how algebra, geometry, and differential equations form the theoretical foundation of classical harmonic analysis, then establish natural connections to representation theory of semi-simple Lie groups. Written for graduate students and researchers, the book balances accessibility with mathematical depth, offering both foundational concepts and sophisticated results that deepen understanding of how these seemingly distinct mathematical domains interact and support one another.

Key Features

Clifford algebras and their application to Euclidean Fourier analysis and harmonic analysis.

Comprehensive treatment of analysis on manifolds using geometric and algebraic methods.

Connections between harmonic analysis and representation theory of semi-simple Lie groups.

Graduate-level mathematics text combining algebra, geometry, and differential equations.

Part of Cambridge Studies in Advanced Mathematics series, volume 26.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
26 July 1991
Listed Since
19 February 2007

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