Dual Wavelet Frames and Riesz Bases in Sobolev Spaces
β Scribed by Bin Han; Zuowei Shen
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 772 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0176-4276
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π SIMILAR VOLUMES
## Abstract We present a construction of βflat wavelet basesβ adapted to the homogeneous Sobolev spaces __αΈ’^s^__ (β^__n__^ ). They solve the problem of the phenomenon of infrared divergence which appears for usual wavelet expansions in __αΈ’^s^__ (β^__n__^ ): these bases remove the divergence in the
In this paper, a semi-orthogonal cubic spline wavelet basis of homogeneous Sobolev space H 2 0 (I) is constructed, which turns out to be a basis of the continuous space C 0 (I). At the same time, the orthogonal projections on the wavelet subspaces in H 2 0 (I) are extended to the interpolating opera