Shapiro's uncertainty principle and localization operators associated to the continuous wavelet transform
DOI10.1007/s11868-016-0175-7zbMath1435.42033OpenAlexW2528408777MaRDI QIDQ2014203
Nadia Ben Hamadi, Haythem Lamouchi
Publication date: 10 August 2017
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-016-0175-7
uncertainty principlecontinuous wavelet transformorthonormal sequenceShapiro's theoremtime frequency localizationHeisenberg inequalitydispersion principleumbrella theorem
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
Related Items (4)
Cites Work
- Time-frequency concentration and localization operators in the Dunkl setting
- Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization
- Wavelet transforms and localization operators
- Uncertainty principles for orthonormal sequences
- Weyl transforms
- The uncertainty principle: A mathematical survey
- Foundations of time-frequency analysis
- New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
- Time-Frequency Localization via the Weyl Correspondence
- Interpolation of Linear Operators
- Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations
- Time-frequency localization operators: a geometric phase space approach
- The wavelet transform, time-frequency localization and signal analysis
- Time–frequency concentration of the windowed Hankel transform
- SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING
- Traces and determinants of linear operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Shapiro's uncertainty principle and localization operators associated to the continuous wavelet transform
