GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝdFOR THE HECKMAN-OPDAM THEORY

DOI10.11568/kjm.2016.24.2.235zbMath1432.42025OpenAlexW2481120048MaRDI QIDQ5216584

Amina Hassini, Khalifa Trimèche, Rayaane Maalaoui

Publication date: 18 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2016.24.2.235

zbMATH Keywords

waveletsHeckman-Opdam theorygeneralized wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other functions coming from differential, difference and integral equations (33E30) Hypergeometric functions associated with root systems (33C67)

Related Items (7)

Harmonic Analysis Associated with the Heckman-Opdam-Jacobi Operator on $\mathbb{R}^{d+1}$ ⋮ Boundedness and compactness of Heckman-Opdam two-wavelet multipliers ⋮ Wavelet packet analysis in the framework of Heckman-Opdam theory on \(\mathbb{R}^d \) ⋮ Wavelet packet analysis associated with the Weinstein operator on \(\mathbb{R}^{d+1}_+\) ⋮ Localization operators and scalogram associated with the generalized continuous wavelet transform on $\mathbb{R}^d$ for the Heckman–Opdam theory ⋮ The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\) ⋮ Time–frequency analysis associated with the generalized Wigner transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wavelets and generalized windowed transforms associated with the Dunkl-Bessel-Laplace operator on \(\mathbb{R}^d \times \mathbb{R}_{+}\)
• Harmonic analysis of probability measures on hypergroups
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Harmonic analysis for certain representations of graded Hecke algebras
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
• POSITIVITY OF THE TRANSMUTATION OPERATORS AND ABSOLUTE CONTINUITY OF THEIR REPRESENTING MEASURES FOR A ROOT SYSTEM ON $\mathbb{R}^d$
• Positivity of the Jacobi–Cherednik intertwining operator and its dual
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman–Opdam theory
• ABSOLUTE CONTINUITY OF THE REPRESENTING MEASURES OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ATTACHED TO THE ROOT SYSTEM OF TYPE B₂AND C₂

This page was built for publication: GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝ^dFOR THE HECKMAN-OPDAM THEORY