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標題Title: REFINED AND MICROLOCAL KAKEYA-NIKODYM BOUNDS FOR EIGENFUNCTIONS IN TWO DIMENSIONS
作者Authors: MATTHEW D. BLAIR AND CHRISTOPHER D. SOGGE
上傳單位Department: 電子工程系
上傳時間Date: 2016-6-8
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: Kakeya-Nikodym estimates
摘要Abstract: We obtain some improved essentially sharp Kakeya-Nikodym estimates for eigenfunctions in two-dimensions. We obtain these by proving stronger related microlocal estimates involving a natural decomposition of phase space that is adapted to the geodesic flow.

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