Estimation of dimension functions of band-limited wavelets
| dc.creator | Behera, Biswaranjan | |
| dc.date | 2001-10-29 | |
| dc.date | 2002-07-17 | |
| dc.date.accessioned | 2026-07-07T04:44:08Z | |
| dc.date.available | 2026-07-07T04:44:08Z | |
| dc.description | 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. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110310 | |
| dc.identifier | http://arxiv.org/abs/math/0110310 | |
| dc.identifier | Appl. Comp. Harmon. Anal., vol. 13, no. 3, (2002) pp. 277-282. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62513 | |
| dc.subject | Functional Analysis | |
| dc.subject | 42C40 | |
| dc.title | Estimation of dimension functions of band-limited wavelets | |
| dc.type | text |