2019
DOI: 10.48550/arxiv.1906.06939
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Uncertainty Principle for the multivariate two sided continuous quaternion Windowed Fourier transform

Kamel Brahim,
Emna Tefjeni

Abstract: In this paper, we generalize the continuous quaternion windowed Fourier transform on R 2 to R 2d , called the multivariate two sided continuous quaternion windowed Fourier transform. Using the two sided quaternion Fourier transform, we derive several important properties such as (reconstruction formula, reproducing kernel, plancherel's formula, etc.). We present several example of the multivariate two sided continuous quaternion windowed Fourier transform. We apply the multivariate two sided continuous quatern… Show more

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