| Multi-Wavelet Bessel Sequences in Sobolev Spaces |
| Received:December 13, 2017 Revised:June 05, 2018 |
| Key Words:
multi-wavelet Bessel sequence frame Sobolev spaces
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| Fund Project:Supported by the Doctoral Research Project of Yan'an University (Grant No.YDBK2017-21) and the Foundation of Yan'an University (Grant No.YDQ2018-09). |
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| Abstract: |
| Bessel sequence plays an important role in the study of frames for a Hilbert space with the convergence of a frame series, which has been widely studied in the literature. This paper addresses multi-wavelet Bessel sequences in Sobolev spaces setting, the result obtained is useful for the study of multi-wavelet frames in these spaces. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.05.007 |
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