Clifford Algebras in Analysis and Related Topics

Clifford Algebras in Analysis and Related Topics

Editorial Reviews
Book Description
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.

Clifford Algebras in Analysis and Related Topics,John Ryan,CRC-Press,0849384818,Algebra - General,Applied,Clifford algebras,Harmonic Analysis,Linear Algebra,Mathematical Analysis,Mathematics,Science/Mathematics,Calculus & mathematical analysis,Mathematics / Algebra / General

Books Info:

1. Complex Analysis and Geometry (Lecture Notes in Pure and Applied Mathematics)
2. Complexity : Hierarchical Structures and Scaling in Physics (Cambridge Nonlinear Science Series)
3. Computational Methods in Statistics and Econometrics (Statistics, a Series of Textbooks and Monographs)
4. Control Systems with Input and Output Constraints (Advanced Textbooks in Control and Signal Processing)
5. Direct and Inverse Electromagnetic Scattering
6. Dispersive Transport Equations and Multiscale Models (Ima Volumes in Mathematics and Its Applications)
7. DNA Profiling: Principles, Pitfalls and Potential
8. Electromagnetic Theory and Computation : A Topological Approach (Mathematical Sciences Research Institute Publications)
9. Engineering Turbulence Modelling and Experiments 5
10. Evolution Equations, Control Theory, and Biomathematics (Lecture Notes in Pure and Applied Mathematics)

Books Info

Recommended Books

1. A Modern Life : Art and Design in British Columbia 1945-60
2. The World of Roman Costume
3. African Music: A Pan-African Annotated Bibliography
4. Management Accounting: An Introduction
5. American Religious and Biblical Spectaculars
6. A History of Farming Systems Research
7. Aqueous Systems at Elevated Temperatures and Pressures : Physical Chemistry in Water, Steam and Hydr
8. Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems
9. Around the Bend
10. Archangel Protocol
11. American Staffordshire Terrier
12. A Dulcimer Builder's Do-It-Yourself Guidebook for the Hobbyist Woodworker
13. A Companion to the Vietnam War
14. A View of the River
15. Anatomy of the Dicotyledons : Volume I: Systematic Anatomy of the Leaf and Stem, with a Brief Histor