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A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform
Advances in Applied Clifford Algebras ( IF 1.5 ) Pub Date : 2021-06-06 , DOI: 10.1007/s00006-021-01147-2 Khaled Hleili
中文翻译:
四元数线性正则变换不确定性原理的一种变体
更新日期:2021-06-07
Advances in Applied Clifford Algebras ( IF 1.5 ) Pub Date : 2021-06-06 , DOI: 10.1007/s00006-021-01147-2 Khaled Hleili
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.
中文翻译:
四元数线性正则变换不确定性原理的一种变体
在本文中,我们证明了\(L^p\)函数的(右侧)四元数线性规范变换 (QLCT) 中的克拉克森型和纳什型不等式。接下来,我们展示了 QLCT 的 Heisenberg 型不等式和 Matolcsi-Szücs 型不等式。最后,我们推导出四元数线性规范变换的局部类型不确定性不等式。