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A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform
Journal article   Peer reviewed

A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform

Khaled Hleili
Advances in applied Clifford algebras, Vol.31(3)
01/07/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
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-Szucs-type inequality for the QLCT. Finally, we deduce local-type uncertainty inequalities for the Quaternion Linear Canonical transform.

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