Restriction theorems for real and complex curves

Extra Form
강연자 박종국
소속 포항공과대학교
date 2014-10-23

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 functions.

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