A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
Abstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
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Format: | Article |
Language: | English |
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SpringerOpen
2016-11-01
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Series: | Journal of Inequalities and Applications |
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Online Access: | http://link.springer.com/article/10.1186/s13660-016-1232-8 |
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author | Jian-Ping Zhang Yun-Zhang Li |
author_facet | Jian-Ping Zhang Yun-Zhang Li |
author_sort | Jian-Ping Zhang |
collection | DOAJ |
description | Abstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained. |
first_indexed | 2024-12-11T07:23:47Z |
format | Article |
id | doaj.art-c1566746f951431397c4505db18be77f |
institution | Directory Open Access Journal |
issn | 1029-242X |
language | English |
last_indexed | 2024-12-11T07:23:47Z |
publishDate | 2016-11-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-c1566746f951431397c4505db18be77f2022-12-22T01:16:02ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-11-01201611810.1186/s13660-016-1232-8A characterization of nonhomogeneous wavelet dual frames in Sobolev spacesJian-Ping Zhang0Yun-Zhang Li1College of Applied Sciences, Beijing University of TechnologyCollege of Applied Sciences, Beijing University of TechnologyAbstract In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.http://link.springer.com/article/10.1186/s13660-016-1232-8Bessel sequenceframenonhomogeneous wavelet dual frameSobolev spaces |
spellingShingle | Jian-Ping Zhang Yun-Zhang Li A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces Journal of Inequalities and Applications Bessel sequence frame nonhomogeneous wavelet dual frame Sobolev spaces |
title | A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces |
title_full | A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces |
title_fullStr | A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces |
title_full_unstemmed | A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces |
title_short | A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces |
title_sort | characterization of nonhomogeneous wavelet dual frames in sobolev spaces |
topic | Bessel sequence frame nonhomogeneous wavelet dual frame Sobolev spaces |
url | http://link.springer.com/article/10.1186/s13660-016-1232-8 |
work_keys_str_mv | AT jianpingzhang acharacterizationofnonhomogeneouswaveletdualframesinsobolevspaces AT yunzhangli acharacterizationofnonhomogeneouswaveletdualframesinsobolevspaces AT jianpingzhang characterizationofnonhomogeneouswaveletdualframesinsobolevspaces AT yunzhangli characterizationofnonhomogeneouswaveletdualframesinsobolevspaces |