Clifford Algebras in Analysis and Related Topics
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A01=John Ryan
acoustic wave scattering
advanced Clifford analysis techniques
Author_John Ryan
Banach Space
Bergman Kernel
Bounded Lipschitz Domain
Category=PBF
Category=PHU
Cauchy Integral Formula
Cauchy Kernel
Clifford Algebras
Clifford Analysis
compensated compactness analysis
conformal covariance applications
Dirac Operator
Dirichlet Problem
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Exterior Dirichlet Problem
functional calculus methods
Haar Wavelets
Hardy Space
harmonic function theory
Hilbert Space
Holomorphic Functions
Hyperholomorphic Functions
Left Monogenic Function
Lipschitz Continuous Function
Lipschitz Domain
Lipschitz Graphs
Lipschitz Perturbation
Maxwell boundary problems
Monogenic Function
Poisson Kernel
Riesz Transforms
Singular Integral Operator
Singular Integrals
Product details
- ISBN 9780367448844
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 02 Dec 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis.
All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains.
Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more!
Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.
Ryan, John
