Abstract
In this paper we prove Clarkson-type and Nash-type inequalities in the (right-sided) Quaternion Linear Canonical transform (QLCT) for \(L^p\)-functions. Next, we show Heisenberg-type inequalities and Matolcsi–Szücs-type inequality for the QLCT. Finally, we deduce local-type uncertainty inequalities for the Quaternion Linear Canonical transform.
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Communicated by Eckhard Hitzer.
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Hleili, K. A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform. Adv. Appl. Clifford Algebras 31, 46 (2021). https://doi.org/10.1007/s00006-021-01147-2
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DOI: https://doi.org/10.1007/s00006-021-01147-2
Keywords
- Quaternion linear canonical transform
- Nash-type inequality
- Clarkson-type inequality
- Heisenberg–Pauli–Weyl inequalities
- Matolcsi–Szücs-type inequality
- Local-type inequalities