Reproducing inversion formulas for the Dunkl-Wigner transforms

DOI10.4067/S0719-06462015000200001zbMath1331.42014OpenAlexW1594491280MaRDI QIDQ3465899

Fethi Soltani

Publication date: 29 January 2016

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0719-06462015000200001

zbMATH Keywords

Plancherel formulaextremal functionsinversion formulasDunkl-Wigner transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20)

Related Items (3)

Uncertainty principles for the Dunkl-Wigner transforms ⋮ The Wigner transformation associated with the Hankel multidimensional operator ⋮ Localization operators and inversion formulas for the Dunkl-Weinstein-Stockwell transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Best approximation formulas for the Dunkl \(L^2\)-multiplier operators on \(\mathbb{R}^{d}\)
• Uncertainty principles and extremal functions for the Dunkl \(L^2\)-multiplier operators
• Riesz transform and Riesz potentials for Dunkl transform
• Weyl transforms
• The Dunkl transform
• Positivity of Dunkl's intertwining operator
• Multiplier operators and extremal functions related to the dual Dunkl-Sonine operator
• Convolution operator and maximal function for the Dunkl transform
• Some results on Tchebycheffian spline functions and stochastic processes
• Best approximation, Tikhonov regularization and reproducing kernels
• The weierstrass transform and an isometry in the heat equation
• Hilbert Spaces Induced by Hilbert Space Valued Functions
• Integral Kernels with Reflection Group Invariance
• Approximate real inversion formulas of the gaussian convolution
• A positive radial product formula for the Dunkl kernel
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces
• Inversion formulas in the Dunkl-type heat conduction on
• Weyl-Bessel transforms

This page was built for publication: Reproducing inversion formulas for the Dunkl-Wigner transforms