Localization operators and scalogram associated with the generalized continuous wavelet transform on $\mathbb{R}^d$ for the Heckman–Opdam theory
DOI10.33044/revuma.v61n1a11zbMath1442.81046OpenAlexW3038798752MaRDI QIDQ3295856
Hatem Mejjaoli, Khalifa Trimèche
Publication date: 13 July 2020
Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.33044/revuma.v61n1a11
Cherednik operatorsSchatten-von Neumann classlocalization operatorsscalogramgeneralized wavelet transform
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) General integral transforms (44A05)
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Cites Work
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- Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe's theorem
- On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting
- Uncertainty principles for the Heckman-Opdam transform
- Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems
- Wavelet transforms and localization operators
- Time-frequency analysis of localization operators.
- Foundations of time-frequency analysis
- Lecture notes on Dunkl operators for real and complex reflection groups
- Localization type Berezin-Toeplitz operators on bounded symmetric domains.
- Boundedness and compactness of Heckman-Opdam two-wavelet multipliers
- Characterization for the spectrum of the hypergeometric Fourier transform in terms of the generalized resolvent function
- Time-frequency analysis associated with some partial differential operators
- Harmonic analysis for certain representations of graded Hecke algebras
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Qualitative uncertainty principles for the hypergeometric Fourier transform
- Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
- Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
- On accumulated spectrograms
- Multipliers for continuous frames in Hilbert spaces
- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
- Time-Frequency Localization via the Weyl Correspondence
- UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS
- Interpolation of Linear Operators
- Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations
- HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS
- Positivity of the Jacobi–Cherednik intertwining operator and its dual
- Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
- Time-frequency localization operators: a geometric phase space approach
- The wavelet transform, time-frequency localization and signal analysis
- Ten Lectures on Wavelets
- GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝdFOR THE HECKMAN-OPDAM THEORY
- Some results on wavelet scalograms
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