A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces
For the past few years, wavelet and multi-wavelet frames have attracted interest from researchers. In this paper, we address some of these problems in the setting of the Sobolev space, and characterize of multi-wavelet dual frames in these spaces by using a pair of equations.
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2020/3148946 |
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author | Jianping Zhang Jiajia Li |
author_facet | Jianping Zhang Jiajia Li |
author_sort | Jianping Zhang |
collection | DOAJ |
description | For the past few years, wavelet and multi-wavelet frames have attracted interest from researchers. In this paper, we address some of these problems in the setting of the Sobolev space, and characterize of multi-wavelet dual frames in these spaces by using a pair of equations. |
format | Article |
id | doaj-art-501dd033c3da4406aa0f64ac4c88156e |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-501dd033c3da4406aa0f64ac4c88156e2025-02-03T01:00:05ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/31489463148946A Characterization of Multi-Wavelet Dual Frames in Sobolev SpacesJianping Zhang0Jiajia Li1College of Mathematics and Computer Science, Yan’an University, Shaanxi 716000, ChinaCollege of Mathematics and Computer Science, Yan’an University, Shaanxi 716000, ChinaFor the past few years, wavelet and multi-wavelet frames have attracted interest from researchers. In this paper, we address some of these problems in the setting of the Sobolev space, and characterize of multi-wavelet dual frames in these spaces by using a pair of equations.http://dx.doi.org/10.1155/2020/3148946 |
spellingShingle | Jianping Zhang Jiajia Li A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces Journal of Function Spaces |
title | A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces |
title_full | A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces |
title_fullStr | A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces |
title_full_unstemmed | A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces |
title_short | A Characterization of Multi-Wavelet Dual Frames in Sobolev Spaces |
title_sort | characterization of multi wavelet dual frames in sobolev spaces |
url | http://dx.doi.org/10.1155/2020/3148946 |
work_keys_str_mv | AT jianpingzhang acharacterizationofmultiwaveletdualframesinsobolevspaces AT jiajiali acharacterizationofmultiwaveletdualframesinsobolevspaces AT jianpingzhang characterizationofmultiwaveletdualframesinsobolevspaces AT jiajiali characterizationofmultiwaveletdualframesinsobolevspaces |