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Date | May 24, 2016 |
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Speaker | 함세헌 |

Dept. | KIAS |

Room | 27-116 |

Time | 16:00-18:00 |

In this talk, we study pointwise decay estimates for Fourier transform of measures on fractal sets. The finiteness of the energy of a measure does not imply the pointwise decay while it depends on geometric structures of the support of the measure. For an example a measure on a Cantor set does not decay at infinity. As a related topic, we consider generalized Stein-Tomas theorem on submanifolds with non-integer dimension.

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