Relating transplantation and multipliers for Dunkl and Hankel transforms

DOI10.1002/mana.200510700zbMath1156.44003OpenAlexW1968744907MaRDI QIDQ3539911

Adam Nowak, Krzystztof Stempak

Publication date: 19 November 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510700

zbMATH Keywords

Hankel transformmultiplierstransplantationDunkl transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers in one variable harmonic analysis (42A45)

Related Items (13)

Potential operators associated with Hankel and Hankel-Dunkl transforms ⋮ Linear and bilinear multiplier operators for the Dunkl transform ⋮ Boole-Dunkl polynomials and generalizations ⋮ Boundedness and compactness of Dunkl two-wavelet multipliers ⋮ Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform ⋮ On fundamental harmonic analysis operators in certain Dunkl and Bessel settings ⋮ Transplantation theorems -- a survey ⋮ Mean convergence of Fourier-Dunkl series ⋮ New integral representations for the Fox-Wright functions and its applications ⋮ Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind ⋮ Calderón’s reproducing formulas for the Weinstein L2-multiplier operators ⋮ Unnamed Item ⋮ On the Dunkl convolution equations in spaces of type

Cites Work

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• Weighted estimates for the Hankel transform transplantation operator
• The multiplier of the interval \([-1,1\) for the Dunkl transform on the real line]
• The Dunkl transform
• An uniform boundedness for Bochner-Riesz operators related to the Hankel transform.
• An uncertainty principle for Hankel transforms
• Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform

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