Fourier transform, $L^2$ restriction theorem, and scaling
| dc.creator | Iosevich, Alex | |
| dc.date | 2001-04-08 | |
| dc.date.accessioned | 2026-07-07T04:41:13Z | |
| dc.date.available | 2026-07-07T04:41:13Z | |
| dc.description | We show, using a Knapp-type homogeneity argument, that the $(L^p, L^2)$ restriction theorem implies a growth condition on the hypersurface in question. We further use this result to show that the optimal $(L^p, L^2)$ restriction theorem implies the sharp isotropic decay rate for the Fourier transform of the Lebesgue measure carried by compact convex finite hypersurfaces. | |
| dc.identifier | https://arxiv.org/abs/math/0104097 | |
| dc.identifier | http://arxiv.org/abs/math/0104097 | |
| dc.identifier | Bolletino U.M.I., Volume 8 (1999), pp. 383-387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61267 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Fourier transform, $L^2$ restriction theorem, and scaling | |
| dc.type | text |