Large classes of minimally supported frequency wavelets of L^2(\R) and H^2(\R)
| dc.creator | Arcozzi, Nicola | |
| dc.creator | Behera, Biswaranjan | |
| dc.creator | Madan, Shobha | |
| dc.date | 2002-07-17 | |
| dc.date.accessioned | 2026-07-07T04:49:42Z | |
| dc.date.available | 2026-07-07T04:49:42Z | |
| dc.description | We introduce a method to construct large classes of MSF wavelets of the Hardy space H^2(\R) and symmetric MSF wavelets of L^2(\R), and discuss the classification of such sets. As application, we show that there are uncountably many wavelet sets of L^2(\R) and H^2(\R). We also enumerate all symmetric wavelets of L^2(\R) with at most three intervals in the positive axis as well as 3-interval wavelet sets of H^2(\R). Finally, we construct families of MSF wavelets of L^2(\R) whose Fourier transform does not vanish in any neighbourhood of the origin. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0207141 | |
| dc.identifier | http://arxiv.org/abs/math/0207141 | |
| dc.identifier | J. Geom. Anal., vol. 13, no. 4, (2003) pp. 557-579. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64527 | |
| dc.subject | Functional Analysis | |
| dc.subject | 42C40 | |
| dc.title | Large classes of minimally supported frequency wavelets of L^2(\R) and H^2(\R) | |
| dc.type | text |