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Frames and Riesz Bases in Hilbert space
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mei-Xiang, Yang |
| Copyright Year | 2005 |
| Abstract | Abstrcat We will discuss meticulously the relationship between frame and Riesz basis in Hilbert space.Let｛V_j｝ be a multiresolution analysis of L~2(R),and W_jV_j=V_(j+1),the mother wavelet ψ(x)∈W_0 which makes ψ_(j,k)=2~(~(j2))ψ(2~jx-k):k∈Z is a Riesz basis of W_j.We will show that ｛ψ_(j,k):j,k∈Z｝ is a Riesz basis in the whole space L~2(R) and there is the only dual wavelet such that ψ and satisfy the biorthogonal condition. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.gmu.edu/~dwalnut/teach/Math772/Fall11/772f11lec11.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
