Fisrt published in 2001, Noncommutative harmonic analysis is one of the most widely used mathematical tools in engineering. Written specifically for engineers and computer scientists, this book serves as an applied counterpart to the theoretical works of pure mathematicians.
Fisrt published in 2001, Noncommutative harmonic analysis is one of the most widely used mathematical tools in engineering. Written specifically for engineers and computer scientists, this book serves as an applied counterpart to the theoretical works of pure mathematicians.
1. Introduction and Overview of Applications. 2. Classical Fourier Analysis. 3. Sturm-Liouville Expansions, Discrete Polynomial Transforms and Weasels. 4. Orthogonal Expansions in Curvilinear Coordinates. 5. Rotations in Three Dimensions. 6. Rigid-Body Motion. 7. Group Theory. 8. Harmonic Analysis on Groups. 9. Representation Theory and Operational Calculus for SU (2) and SO (3). 10. Harmonic Analysis on the Euclidean Motion Groups. 11. Fast Fourier Transforms for Motion Groups. 12. Robotics. 13. Image Analysis and Tomography. 14. Statistical Pose Determination and Camera Calibration. 15. Stochastic Processes, Estimation, and Control. 16. Rotational Brownian Motion and Diffusion. 17. Statistical Mechanics of Macromolecules. 18. Mechanics and Texture Analysis. A. Computational, Complexity, Matrices, and Polynomials. B. Set Theory. C. Vector Spaces and Algebras. D. Matrices. E. Techniques from Mathematical Physics. F. Variational Calculus. G. Manifolds and Riemannian Metrics. References. Index.
1. Introduction and Overview of Applications. 2. Classical Fourier Analysis. 3. Sturm-Liouville Expansions, Discrete Polynomial Transforms and Weasels. 4. Orthogonal Expansions in Curvilinear Coordinates. 5. Rotations in Three Dimensions. 6. Rigid-Body Motion. 7. Group Theory. 8. Harmonic Analysis on Groups. 9. Representation Theory and Operational Calculus for SU (2) and SO (3). 10. Harmonic Analysis on the Euclidean Motion Groups. 11. Fast Fourier Transforms for Motion Groups. 12. Robotics. 13. Image Analysis and Tomography. 14. Statistical Pose Determination and Camera Calibration. 15. Stochastic Processes, Estimation, and Control. 16. Rotational Brownian Motion and Diffusion. 17. Statistical Mechanics of Macromolecules. 18. Mechanics and Texture Analysis. A. Computational, Complexity, Matrices, and Polynomials. B. Set Theory. C. Vector Spaces and Algebras. D. Matrices. E. Techniques from Mathematical Physics. F. Variational Calculus. G. Manifolds and Riemannian Metrics. References. Index.
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