Math Colloquia

1019

Date | Oct 23, 2014 |
---|---|

Speaker | 박종국 |

Dept. | 포항공과대학교 |

Room | 129-101 |

Time | 16:00-17:00 |

We will talk about the
Fourier restriction theorems for non-degenerate and degenerate curves in
Euclidean space R^{d}. 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 R^{2d}. These are 2-dimensional surfaces defined by certain complex
functions.

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