Fourier restriction to convex surfaces of revolution in \(\mathbb R^3\) (Q2458368)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier restriction to convex surfaces of revolution in \(\mathbb R^3\) |
scientific article |
Statements
Fourier restriction to convex surfaces of revolution in \(\mathbb R^3\) (English)
0 references
31 October 2007
0 references
The purpose of this paper is to obtain restriction estimates for convex surfaces of revolution in \(\mathbb{R}^3\). In particular the authors obtained Tomas-Stein restriction estimates for surfaces of revolution in \(\mathbb{R}^3\) under the condition \[ \sup_{0< t< b}\,{r(t) r''(t)\over r'(t)^2}\leq C< \infty. \]
0 references
Fourier transform
0 references
affine surface area
0 references
