Some new estimates for the Cherednik-Opdam transform in the space \(L^{2}_{\alpha ,\beta}(\mathbb {R})\)
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Publication:262289
DOI10.1007/S11868-015-0138-4zbMath1334.42013OpenAlexW2164879486MaRDI QIDQ262289
Radouan Daher, Salah El Ouadih
Publication date: 29 March 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/s11868-015-0138-4
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Harmonic analysis and PDEs (42B37)
Related Items (3)
Equivalence of \(K\)-functionals and modulus of smoothness constructed by Cherednik-Opdam transform ⋮ A new structure of an integral operator associated with trigonometric Dunkl settings ⋮ Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis
Cites Work
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- Growth properties of Fourier transforms via moduli of continuity
- Harmonic analysis for certain representations of graded Hecke algebras
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- Some remarks concerning the Fourier transform in the space L 2 (ℝ)
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