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Estimation of dimension functions of band-limited wavelets | | Biswaranjan Behera
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29 Oct 2001 | | Journal: | Appl. Comp. Harmon. Anal., vol. 13, no. 3, (2002) pp. 277-282. | | Subject: | Functional Analysis MSC-class: 42C40 | math.FA | | Abstract: | The dimension function D_psi of a band-limited wavelet is bounded by n if the support of its Fourier transform is contained in the interval [-{2^(n+2)/3}pi, {2^(n+2)/3}pi]. For each positive integer n and for each epsilon > 0, we construct a wavelet psi with support of $hat psi$ contained in [-{2^(n+2)/3}pi, {2^(n+2)/3}pi + epsilon] such that D_psi > n on a set of positive measure, which proves that [-{2^(n+2)/3}pi, {2^(n+2)/3}pi] is the largest symmetric interval for estimating the dimension function by n. | | Source: | arXiv, math.FA/0110310 | | Services: | Forum | Review | PDF | Favorites | |
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