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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

Some useful results associated with right-sided quaternion fourier transform

Bahri M.

International Conference on Wavelet Analysis and Pattern Recognition

Published: 2018Citations: 2

Abstract

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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QuaternionSciences
Fourier transformSciences
MathematicsSciences
Fractional Fourier transformSciences
Discrete Fourier transform (general)Sciences
Fourier inversion theoremSciences
Hilbert spaceSciences
GeneralizationSciences
Pure mathematicsSciences
Mathematical analysisSciences
Algebra over a fieldSciences
Fourier analysisSciences
GeometrySciences