Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces
It can be seen from the literature that nonhomogeneous wavelet frames are much simpler to characterize and construct than homogeneous ones. In this work, we address such problems in reducing subspaces of L2ℝd. A characterization of nonhomogeneous wavelet dual frames is obtained, and by using the cha...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/1716525 |
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| _version_ | 1832566034490458112 |
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| author | Jianping Zhang Huifang Jia |
| author_facet | Jianping Zhang Huifang Jia |
| author_sort | Jianping Zhang |
| collection | DOAJ |
| description | It can be seen from the literature that nonhomogeneous wavelet frames are much simpler to characterize and construct than homogeneous ones. In this work, we address such problems in reducing subspaces of L2ℝd. A characterization of nonhomogeneous wavelet dual frames is obtained, and by using the characterization, an MOEP and an MEP are derived under general assumptions for such wavelet dual frames. |
| format | Article |
| id | doaj-art-ef812f150c70417890f5ae14d6565d03 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ef812f150c70417890f5ae14d6565d032025-02-03T01:05:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/17165251716525Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing SubspacesJianping Zhang0Huifang Jia1College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi 716000, ChinaSchool of Mathematics Science, Shanxi University, Taiyuan, Shanxi 030002, ChinaIt can be seen from the literature that nonhomogeneous wavelet frames are much simpler to characterize and construct than homogeneous ones. In this work, we address such problems in reducing subspaces of L2ℝd. A characterization of nonhomogeneous wavelet dual frames is obtained, and by using the characterization, an MOEP and an MEP are derived under general assumptions for such wavelet dual frames.http://dx.doi.org/10.1155/2020/1716525 |
| spellingShingle | Jianping Zhang Huifang Jia Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces Journal of Mathematics |
| title | Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces |
| title_full | Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces |
| title_fullStr | Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces |
| title_full_unstemmed | Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces |
| title_short | Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces |
| title_sort | nonhomogeneous wavelet dual frames and extension principles in reducing subspaces |
| url | http://dx.doi.org/10.1155/2020/1716525 |
| work_keys_str_mv | AT jianpingzhang nonhomogeneouswaveletdualframesandextensionprinciplesinreducingsubspaces AT huifangjia nonhomogeneouswaveletdualframesandextensionprinciplesinreducingsubspaces |