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 |  | 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 | doi | https://doi.org/10.1007/978-3-319-55556-0 | isbn_softcover | 978-3-319-85693-3 | isbn_ebook | 978-3-319-55556-0Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Springer International Publishing AG 2017 |
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