| 書目名稱 | Frames and Other Bases in Abstract and Function Spaces | | 副標(biāo)題 | Novel Methods in Har | | 編輯 | Isaac Pesenson,Quoc Thong Le Gia,Ding-Xuan Zhou | | 視頻video | http://file.papertrans.cn/348/347611/347611.mp4 | | 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 | | 叢書名稱 | Applied and Numerical Harmonic Analysis | | 圖書封面 |  | | 描述 | The first 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 I is organized around the theme of frames and other bases in abstract and function spaces, covering topics such as:.The advanced development of frames, including Sigma-Delta quantization for fusion frames, localization of frames, and frame conditioning, as well as applications to distributed sensor networks, Galerkin-like representati | | 出版日期 | Book 2017 | | 關(guān)鍵詞 | Sampling; Frames; Manifolds; Time-frequency Analysis; Space Frequency; Data Mining | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-55550-8 | | isbn_softcover | 978-3-319-85692-6 | | isbn_ebook | 978-3-319-55550-8Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Springer International Publishing AG 2017 |
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