Time-frequency concentration and localization operators in the Dunkl setting
From MaRDI portal
Publication:330594
DOI10.1007/s11868-016-0153-0zbMath1358.42031OpenAlexW2300625482MaRDI QIDQ330594
Publication date: 26 October 2016
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-016-0153-0
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral operators (45P05) Other transformations of harmonic type (42C20) Uniqueness and localization for orthogonal series (42C25)
Related Items
Phase space localized functions in the Dunkl setting ⋮ Time-frequency concentration and localization operators associated with the directional short-time Fourier transform ⋮ Reproducing kernel theory associated with the generalized Stockwell transform and applications ⋮ \(L^p\)-\(L^q\) time-scale localization operator for the continuous Hankel wavelet transform ⋮ Uncertainty principles for the \(q\)-Bessel windowed transform and localization operators ⋮ Unnamed Item ⋮ Shapiro's uncertainty principle and localization operators associated to the continuous wavelet transform ⋮ Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\) ⋮ Dunkl-Stockwell transform and its applications to the time-frequency analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization
- Wavelet transforms and localization operators
- Markov processes related with Dunkl operators
- Calogero-Moser-Sutherland models. Workshop, Centre de Recherches Mathématique, Montréal, Canada, March 10--15, 1997
- Exact operator solution of the Calogero-Sutherland model
- Uncertainty principles for the continuous Dunkl Gabor transform and the Dunkl continuous wavelet transform
- Time-frequency analysis of localization operators associated to the windowed Hankel transform
- Time-Frequency Localization via the Weyl Correspondence
- Practical inversion formulas for the Dunkl–Gabor transform on ℝd
- Interpolation of Linear Operators
- Differential-Difference Operators Associated to Reflection Groups
- Time-frequency localization operators: a geometric phase space approach
- Integral Kernels with Reflection Group Invariance
- An uncertainty principle for the Dunkl transform
- Exchange operator formalism for integrable systems of particles
- Dunkl-Gabor transform and time-frequency concentration
- Uncertainty principles for integral operators
- SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING
