Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (4): 631-640.

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A Sharper Uncertainty Principle for L2(Rn) Space

Qu Feifei1, Deng Guantie2   

  1. 1 Tianjin University of Technology and Education, Tianjin 300222;
    2 Beijing Normal University, Beijing 100875
  • Received:2017-02-10 Revised:2017-10-18 Online:2018-08-26 Published:2018-08-26
  • Supported by:
    Supported by the NSFC (11271045) and the Tianjin Education Scientific Research (JWK1705)

Abstract: In this paper, we generalize some definitions of a signal about time and Fourier frequency to a function f(t) ∈ L2(Rn) and propose a form of uncertainty principle strictly stronger than Heisenberg inequality in L2(Rn). We also deduce the conditions that give rise to the equal relation of the uncertainty principle.

Key words: L2(Rn) space, Uncertainty principle, Fourier transform

CLC Number: 

  • O175.5
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