Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\)
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Publication:2280115
DOI10.1007/s11868-019-00276-4OpenAlexW2912594856MaRDI QIDQ2280115
Nadia Sraieb, Hatem Mejjaoli, Khalifa Trimèche
Publication date: 17 December 2019
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-019-00276-4
inversion theoremHeisenberg type inequalityDunkl Gabor transformDonoho-Stark uncertainty principlesFaris-Price uncertainty principlelocal Cowling-Price type inequalities
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
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Uncertainty principles for the windowed Opdam–Cherednik transform, \(L^p\) local uncertainty principles for the Dunkl Gabor transform on \(\mathbb{R}^d \), Dunkl-Stockwell transform and its applications to the time-frequency analysis
Cites Work
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- Time-frequency concentration and localization operators in the Dunkl setting
- Uncertainty principles for the Dunkl transform
- Heisenberg inequalities for Jacobi transforms
- On Fourier transforms of functions supported on sets of finite Lebesgue measure
- Markov processes related with Dunkl operators
- The Dunkl transform
- The uncertainty principle: A mathematical survey
- New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
- Uncertainty principles for the continuous Dunkl Gabor transform and the Dunkl continuous wavelet transform
- Phase space localized functions in the Dunkl setting
- Convolution operator and maximal function for the Dunkl transform
- Heisenberg uncertainty inequality for Gabor transform
- A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform
- Uncertainty Principles and Signal Recovery
- Practical inversion formulas for the Dunkl–Gabor transform on ℝd
- Weinstein Gabor Transform and Applications
- Multivariable Bessel Gabor transform and applications
- Inequalities and local uncertainty principles
- Sharp local uncertainty inequalities
- Differential-Difference Operators Associated to Reflection Groups
- Local Uncertainty Inequalities for Locally Compact Groups
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- Dunkl-Gabor transform and time-frequency concentration
- Heisenberg-type inequalities for the Weinstein operator
- Time–frequency concentration of the windowed Hankel transform
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions