书目名称 | Wavelet Analysis on Local Fields of Positive Characteristic | 编辑 | Biswaranjan Behera,Qaiser Jahan | 视频video | | 概述 | Discusses, for the first time, wavelet analysis on local fields of positive characteristic.Provides a proof of the existence and uniqueness of Haar measures on locally compact groups.Focuses on multir | 丛书名称 | Indian Statistical Institute Series | 图书封面 |  | 描述 | This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces. | 出版日期 | Book 2021 | 关键词 | wavelet analysis; harmonic analysis; Fourier analysis; analysis on local fields; co-affine frames; quasi- | 版次 | 1 | doi | https://doi.org/10.1007/978-981-16-7881-3 | isbn_softcover | 978-981-16-7883-7 | isbn_ebook | 978-981-16-7881-3Series ISSN 2523-3114 Series E-ISSN 2523-3122 | issn_series | 2523-3114 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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