AnLpversion of Hardy's theorem for the Jacobi–Dunkl transform

DOI10.1080/10652460310001600690zbMath1102.42002OpenAlexW1988284913MaRDI QIDQ4822849

F. Chouchane, Maher Mili, Khalifa Trimèche

Publication date: 25 October 2004

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460310001600690

zbMATH Keywords

heat kernelHardy's theoremDunkl-Jacobi transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (10)

On the theorems of Hardy and Miyachi for the Jacobi–Dunkl transform ⋮ A new aspect of generalized integral operator and an estimation in a generalized function theory ⋮ Moduli of smoothness and generalized canonical Fourier-Bessel differential operator on the half-line ⋮ L^p–L^q-version of Morgan's theorem for the Jacobi–Dunkl transform ⋮ On Hardy's inequality for symmetric integral transforms and analogous ⋮ The Jacobi-Dunkl transform on \(\mathbb R\) and the convolution product on new spaces of distributions ⋮ The heat semigroup for the Jacobi-Dunkl operator and the related Markov processes ⋮ Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types ⋮ The heat and Poisson equations for the Jacobi-Dunkl generalized Laplacian ⋮ Fractional Jacobi-Dunkl transform: properties and application

Cites Work

• Unnamed Item
• Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Uncertainty principles on certain Lie groups
• POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$
• A Theorem Concerning Fourier Transforms

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