Phase space localized functions in the Dunkl setting
From MaRDI portal
Publication:2401489
DOI10.1007/s11868-016-0170-zzbMath1380.94054OpenAlexW2517924533MaRDI QIDQ2401489
Publication date: 1 September 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/s11868-016-0170-z
localization operatorspectrogramtime-frequency concentrationDunkl-Gabor transformlocalized functions
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Integral operators (45P05) Uniqueness and localization for orthogonal series (42C25)
Related Items
\(k\)-Hankel Gabor transform and its applications to the theory of localization operators ⋮ Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\) ⋮ Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\)
Cites Work
- Unnamed Item
- Time-frequency concentration and localization operators in the Dunkl setting
- Wavelet transforms and localization operators
- On Szegö's eigenvalue distribution theorem and non-Hermitian kernels
- Markov processes related with Dunkl operators
- Time-frequency localization and the spectrogram
- Exact operator solution of the Calogero-Sutherland model
- Uncertainty principles for the continuous Dunkl Gabor transform and the Dunkl continuous wavelet transform
- On accumulated spectrograms
- Uncertainty principles involvingL1-norms for the Dunkl transform
- Practical inversion formulas for the Dunkl–Gabor transform on ℝd
- Differential-Difference Operators Associated to Reflection Groups
- Time-frequency localization operators: a geometric phase space approach
- Integral Kernels with Reflection Group Invariance
- Wave packets and fourier integral operators
- An uncertainty principle for the Dunkl transform
- Exchange operator formalism for integrable systems of particles
- Sampling time-frequency localized functions and constructing localized time-frequency frames
- Dunkl-Gabor transform and time-frequency concentration
- Uncertainty principles for integral operators
- Variations on uncertainty principles for integral operators
- SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
- WICK AND ANTI-WICK OPERATOR SYMBOLS
