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Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform

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Abstract

For the right-sided multivariate continuous quaternion wavelet transform (CQWT), we analyse the concentration of this transform on sets of finite measure. We also establish an analogue of Heisenberg’s inequality for the quaternion wavelet transform. Finally, we extend local uncertainty principle for a set of finite measure to CQWT.

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  1. Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741,, Tabuk, 71491, Saudi Arabia

    Manel Hleili

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  1. Manel Hleili
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Correspondence to Manel Hleili.

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Communicated by Heikki Orelma.

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Hleili, M. Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform. Adv. Appl. Clifford Algebras 34, 13 (2024). https://doi.org/10.1007/s00006-024-01319-w

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