Uncertainty principles of the fractional Clifford–Fourier transform
DOI10.1002/mma.9440OpenAlexW4379011781MaRDI QIDQ6183128
Long Gao, Yuying Qiao, Haipan Shi, Yong Hong Xie
Publication date: 26 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9440
logarithmic uncertainty principleHeisenberg-type uncertainty principletwo-sided fractional Clifford-Fourier transform
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
Cites Work
- A modified uncertainty principle for two-sided quaternion Fourier transform
- On uncertainty principle for quaternionic linear canonical transform
- Pitt's inequality and the uncertainty principle associated with the quaternion Fourier transform
- Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\)
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- A version of uncertainty principle for quaternion linear canonical transform
- A simplified proof of uncertainty principle for quaternion linear canonical transform
- On uncertainty principle for the two-sided quaternion linear canonical transform
- Two-sided Fourier transform in Clifford analysis and its application
- Classical Fourier Analysis
- Pitt's Inequality and the Uncertainty Principle
- Two-sided fractional Clifford–Fourier transformation
- Pitt's inequality with sharp convolution estimates
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