Dendrinos, S. and Wright, J. (2008) Fourier restriction, polynomial curves and a geometric inequality. Comptes Rendus Mathématique, 346(1-2), pp. 45-48. (doi: 10.1016/j.crma.2007.11.032)
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Publisher's URL: http://dx.doi.org/10.1016/j.crma.2007.11.032
Abstract
We announce a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier restriction with respect to the affine arclength measure of the curve, we obtain a universal bound for the class of all polynomial curves of bounded degree. Our method relies on establishing a geometric inequality for general polynomial curves which is of interest in its own right. There are applications of this geometric inequality to other problems in euclidean harmonic analysis.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Dendrinos, Dr Spyridon |
| Authors: | Dendrinos, S., and Wright, J. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Research Group: | Analysis |
| Journal Name: | Comptes Rendus Mathématique |
| Journal Abbr.: | C. R. Math. |
| ISSN: | 1631-073X |
| ISSN (Online): | 1778-3569 |
| Published Online: | 26 January 2008 |
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