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First published in 2001. 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.
First published in 2001. 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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