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| On the Order of Affine Wavelet Approximation | |
| 作者姓名： | 蒋迅 王子玉 |
| 作者单位： | niversity of Maryland，College Part，Maryland，20742，U.S.A.，Henan University，Kaifeng，475001，Henan，P.R.C. |
| 摘 要： | Suppose h∈L~2(R), α_0>1, b_0>0 and h_(mn) (x) =α_0~(-m/2)h(α_0~(-m)x - nb_0),m,n∈Zand suppose that {h_(mn)} is a frame with frame bounds A,B>0,where <·,·> is the standard inner product on L~2(R) and ||·|| is the L~2 norm on R .Wecall {h_(mn)} the affine frame. Denote its dual frame by {h_(mn)} .It is well known that forany f ∈L~2 (R), |
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