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Wavelet Analysis on Local Fields of Positive Characteristic
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| 概要 | 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 pro...of 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. .続きを見る |
| 目次 | Local Fields Multiresolution Analysis on Local Fields Affine, Quasi-Affine and Co-Affine Frames Characterizations in Wavelet Analysis Biorthogonal Wavelets Wavelet Packets and Frame Packets Wavelets as Unconditional Bases Shift-Invariant Spaces and Wavelets. |
| 冊子版へのリンク | https://hdl.handle.net/2324/1001733918 |
| 本文を見る | Springer Mathematics and Statistics eBooks 2021 English/International: 2021 |
詳細
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| 登録日 | 2023.09.29 |
| 更新日 | 2024.01.30 |