Abstract
In this work, we begin by providing a new proof of the uncertainty principle related to the quaternion linear canonical transform. We then generalize the uncertainty principles for the quaternion linear canonical transform in the literature. After defining the offset quaternion linear canonical transform and making a direct connection between the quaternion linear canonical transform and the offset quaternion linear canonical transform, we finally transfer the uncertainty principles for the quaternion linear canonical transform to the offset quaternion linear canonical transform.
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This work is supported in part by Grant from Ministry of Research, Technology and Higher Education, Indonesia under WCR scheme.
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Communicated by S Ponnusamy.
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Bahri, M. Generalized uncertainty principles for offset quaternion linear canonical transform. J Anal (2024). https://doi.org/10.1007/s41478-024-00733-4
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DOI: https://doi.org/10.1007/s41478-024-00733-4
Keywords
- Quaternion linear canonical transform
- Offset quaternion linear canonical transform
- Generalized uncertainty principles