书目名称 | Framelets and Wavelets | 副标题 | Algorithms, Analysis | 编辑 | Bin Han | 视频video | | 概述 | Algorithmic approach to framelets and wavelets with self-contained proofs and illustrative examples.Comprehensive treatments on refinable vector functions and theory of multiframelets/multiwavelets.Re | 丛书名称 | Applied and Numerical Harmonic Analysis | 图书封面 |  | 描述 | .Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide..As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises..Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets..Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.. | 出版日期 | Textbook 2017 | 关键词 | framelets and wavelets; discrete framalet/wavelet transform; orthogonal and biorthogonal wavelets; tigh | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-68530-4 | isbn_softcover | 978-3-319-88617-6 | isbn_ebook | 978-3-319-68530-4Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Springer International Publishing AG, part of Springer Nature 2017 |
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