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Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science - Novel Methods in Harmonic Analysis, Volume 2 (Hardcover, 1st ed. 2017)
Loot Price: R5,289
Discovery Miles 52 890
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Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science - Novel Methods in Harmonic Analysis, Volume 2 (Hardcover, 1st ed. 2017)
Series: Applied and Numerical Harmonic Analysis
Expected to ship within 10 - 15 working days
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The second of a two volume set on novel methods in harmonic
analysis, this book draws 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. Volume II is organized around the
theme of recent applications of harmonic analysis to function
spaces, differential equations, and data science, covering topics
such as: The classical Fourier transform, the non-linear Fourier
transform (FBI transform), cardinal sampling series and translation
invariant linear systems. Recent results concerning harmonic
analysis on non-Euclidean spaces such as graphs and partially
ordered sets. Applications of harmonic analysis to data science and
statistics Boundary-value problems for PDE's including the
Runge-Walsh theorem for the oblique derivative problem of physical
geodesy.
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