|Oct 23, 2014
We will talk about the
Fourier restriction theorems for non-degenerate and degenerate curves in
Euclidean space Rd. This problem was first studied by E. M. Stein and C.
Fefferman for the circle and sphere, and it still remains an unsolved problem
for the sphere in dimension larger than 2. Our problem is an analogous problem
for curves. We will also mention an extension of such results to some complex
curves in R2d. These are 2-dimensional surfaces defined by certain complex