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

The classical Fourier transform is a widely used mathematical tool in engineering, but extensions of harmonic analysis to functions on groups hold great potential for solving problems in robotics, image analysis, mechanics, and other areas. Engineering Applications of Noncommutative Harmonic Analysis provides a practical treatment of harmonic analysis in the context of particular Lie groups, offering a review of fundamental mathematical results and detailed discussions of specific applications.

Format: Hardback
Length: 696 pages
Publication date: 07 July 2021
Publisher: Taylor & Francis Ltd

The classical Fourier transform is a widely used mathematical tool in engineering, but its extensions to functions on groups hold immense potential for solving problems in robotics, image analysis, mechanics, and other fields. Despite its potential value, engineers often lack the necessary background to apply this concept to engineering problems.

Engineering Applications of Noncommutative Harmonic Analysis aims to bridge this knowledge gap by providing a comprehensive treatment of harmonic analysis in the context of particular Lie groups, such as rotation and Euclidean motion. Written specifically for engineers and computer scientists, this book offers a practical approach to harmonic analysis, focusing on presenting fundamental mathematical results and detailed discussions of specific applications.

By introducing noncommutative harmonic analysis to engineers, this book opens up new avenues for solving complex engineering problems. The Fourier transform, a fundamental tool in signal processing, can be extended to functions on groups, allowing for the analysis and manipulation of complex systems. For example, in robotics, noncommutative harmonic analysis can be used to study the dynamics and control of robotic systems, while in image analysis, it can be used for pattern recognition and segmentation.

Furthermore, the applications of noncommutative harmonic analysis extend beyond traditional engineering fields. It has been used in physics to study quantum mechanics and string theory, and in computer science to develop algorithms for solving optimization problems and machine learning tasks.

In conclusion, Engineering Applications of Noncommutative Harmonic Analysis is a valuable resource for engineers and computer scientists seeking to leverage the power of harmonic analysis in their work. By providing a clear and practical treatment of this complex subject, this book enables engineers to apply this valuable technique to solve real-world engineering problems and advance their fields.

Weight: 1442g
Dimension: 254 x 178 (mm)
ISBN-13: 9780367257187