Uncertainty principles for the fractional quaternion Fourier transform
DOI10.1007/S11868-023-00549-ZOpenAlexW4386028764MaRDI QIDQ6081616
Unnamed Author, Abdellatif Akhlidj
Publication date: 26 October 2023
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-023-00549-z
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Trigonometric polynomials, inequalities, extremal problems (42A05)
Cites Work
- A modified uncertainty principle for two-sided quaternion Fourier transform
- Pitt's inequality and the uncertainty principle associated with the quaternion Fourier transform
- Fractional Fourier transform as a signal processing tool: an overview of recent developments
- An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
- Two-sided fractional quaternion Fourier transform and its application
- A simple observation on the uncertainty principle for the fractional Fourier transform
- Beurling's theorem for the quaternion Fourier transform
- Fractional quaternion Fourier transform, convolution and correlation
- Uncertainty Principles and Signal Recovery
- Miyachi's theorem for the Dunkl transform
- On the class of uncertainty inequalities for the coupled fractional Fourier transform
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