Abstract
The quaternion Fourier transform (QFT) satisfies some uncertainty principles similar to the Euclidean Fourier transform. In this paper, we establish Miyachi’s theorem for this transform and consequently generalize and prove the analogue of Hardy’s theorem and Cowling–Price uncertainty principle in the QFT domain.
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The authors are grateful to the referees for carefully reading the paper and for elaborating the valuable suggestions and comments.
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El Haoui, Y., Fahlaoui, S. Miyachi’s Theorem for the Quaternion Fourier Transform. Circuits Syst Signal Process 39, 2193–2206 (2020). https://doi.org/10.1007/s00034-019-01243-6
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DOI: https://doi.org/10.1007/s00034-019-01243-6