Construction of Frames for Shift-Invariant Spaces
We construct a sequence {ϕi(·-j)∣j∈ℤ, i=1,…,r} which constitutes a p-frame for the weighted shift-invariant space Vμp(Φ)={∑i=1r∑j∈ℤci(j)ϕi(·-j)∣{ci(j)}j∈ℤ∈ℓμp, i=1,…,r}, p∈[1,∞], and generates a closed shift-invariant subspace of Lμp(ℝ). The first construction is obtained b...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/163814 |
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