Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups

Description

The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.



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1. Ebooks list page : 2680
2. Representation Theory and Noncommutative Harmonic Analysis I (Encyclopaedia of Mathematical Sciences)
3. Representation Theory and Noncommutative Harmonic Analysis I (Encyclopaedia of Mathematical Sciences)
4. Representation Theory and Noncommutative Harmonic Analysis II (Encyclopedia of Mathematical Sciences Series)
5. An Introduction to Harmonic Analysis on Semisimple Lie Groups (Cambridge Studies in Advanced Mathematics), 1989-09
6. Classical Harmonic Analysis and Locally Compact Groups (London Mathematical Society Monographs New Series)
7. Commutative Harmonic Analysis IV: Harmonic Analysis in Rn (Encyclopaedia of Mathematical Sciences)
8. Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal Analysis
9. Commutative Harmonic Analysis II: Group Methods in Commutative Harmonic Analysis (Encyclopaedia of Mathematical Sciences)
10. Harmonic Analysis and Applications: In Honor of John J. Benedetto
11. Commutative Harmonic Analysis III: Generalized Functions, Applications (Encyclopaedia of Mathematical Sciences)
12. Commutative Harmonic Analysis III: Generalized Functions, Applications (Encyclopaedia of Mathematical Sciences)
13. Advances in Discrete Tomography and Its Applications (Applied and Numerical Harmonic Analysis): Gabor T. Herman, Attila Kuba
14. Harmonic Functions on Groups and Fourier Algebras
15. Fourier Analysis on Finite Groups&Applications in Signal Processing by Rando
16. Fourier.Analysis.on.Finite.Groups.with.Applications.in.Signal.Processing.and.System.Design