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Novel Methods in Harmonic Analysis (Hardcover, 1st ed. 2017)
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Novel Methods in Harmonic Analysis (Hardcover, 1st ed. 2017)
Series: Applied and Numerical Harmonic Analysis
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Volume I: http://www.springer.com/book/9783319555492 Volume II:
http://www.springer.com/book/9783319555553 A two volume set on
novel methods in harmonic analysis, these books draw on a number of
original research and survey papers from well-known specialists
detailing the latest innovations and recently discovered links
between various fields. Along with many deep theoretical results,
these volumes contain numerous applications to problems in signal
processing, medical imaging, geodesy, statistics, and data science.
The chapters within cover an impressive range of ideas from both
traditional and modern harmonic analysis, such as: the Fourier
transform, Shannon sampling, frames, wavelets, functions on
Euclidean spaces, analysis on function spaces of Riemannian and
sub-Riemannian manifolds, Fourier analysis on manifolds and Lie
groups, analysis on combinatorial graphs, sheaves, co-sheaves, and
persistent homologies on topological spaces.
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