Uncertainty principle for the quaternion Fourier transform

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:467

Article

Lian, Pan¹ 

[1] Tianjin Normal Univ, Sch Math Sci, Binshui West Rd 393, Tianjin 300387, Peoples R China

关键词: Quaternion Fourier transform;    Uncertainty principle;    Pitt's inequality;    Entropy inequality;   

DOI  :  10.1016/j.jmaa.2018.08.002

来源: Elsevier

【 摘 要 】

The two-sided quaternion Fourier transform was introduced for the analysis of 2D linear time-invariant partial-differential systems. It has been shown to be a powerful tool in image processing. In this paper, several uncertainty inequalities for the two-sided quaternion Fourier transform are given with optimal constants, including the Pitt's inequality, logarithmic uncertainty inequality, Hausdorff Young inequality, Hirschman's entropy inequality, generalized Heisenberg inequality, local uncertainty principle and qualitative uncertainty principle. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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