关于右侧四元数傅里叶变换的一些有用结果

2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR) Pub Date : 2018-07-01 DOI:10.1109/ICWAPR.2018.8521394

M. Bahri, R. Ashino

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引用次数: 1

摘要

不确定性原理可以看作是复希尔伯特空间上不确定性原理的推广。利用线性算子，证明了右侧四元数傅里叶变换是一个酉算子。给出了右侧四元数傅里叶变换的对偶性，使我们能够表示与右侧四元数傅里叶变换相关的Hausdorff-Young不等式的替代形式。学科分类:11R52、42A38、15A66

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Some Useful Results Associated with Right-Sided Quaternion Fourier Transform

The uncertainty principles can be regarded as generalization of the uncertainty principles on complex Hilbert space. By applying the linear operators, it is shown that the right-sided quaternion Fourier transform is a unitary operator. The duality property of the right-sided quaternion Fourier transform which enables us to express the alternative form of the Hausdorff-Young inequality associated with the right-sided quaternion Fourier transform is presented. AMS Subject Classification: 11R52, 42A38, 15A66

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2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)

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