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Titlebook: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Scienc; Novel Methods in Har Isaac Pesenson,Q

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书目名称Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Scienc
副标题Novel Methods in Har
编辑Isaac Pesenson,Quoc Thong Le Gia,Ding-Xuan Zhou
视频video
概述Exhibits several recently discovered links between traditional harmonic analysis and modern ideas in areas such as Riemannian geometry and sheaf theory.Contains both deep theoretical results and innov
丛书名称Applied and Numerical Harmonic Analysis
图书封面Titlebook: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Scienc; Novel Methods in Har Isaac Pesenson,Q
描述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 concer
出版日期Book 2017
关键词Sampling; Frames; Manifolds; Time-frequency Analysis; Space Frequency; Data Mining
版次1
doihttps://doi.org/10.1007/978-3-319-55556-0
isbn_softcover978-3-319-85693-3
isbn_ebook978-3-319-55556-0Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer International Publishing AG 2017
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