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標題Title: AN UNCERTAINTY PRINCIPLE AND SAMPLING INEQUALITIES IN BESOV SPACES
作者Authors: PHILIPPE JAMING AND EUGENIA MALINNIKOVA
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: uncertainty principle
摘要Abstract: We extend Strichartz’s uncertainty principle [21] from the setting of the
Sobolev space W1,2(R) to more general Besov spaces B1/p(R). The main result gives p,1
an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces.

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