Inversion of Riesz potentials for Dunkl transform

DOI10.1155/2018/8943473zbMath1458.44004OpenAlexW2894262472WikidataQ129179399 ScholiaQ129179399MaRDI QIDQ1624150

Rongxin Wang, Moyi Liu, Futao Song

Publication date: 15 November 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8943473

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other transforms and operators of Fourier type (43A32)

Cites Work

• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Riesz transform and Riesz potentials for Dunkl transform
• The Dunkl transform
• Convolution operator and maximal function for the Dunkl transform
• Differential-Difference Operators Associated to Reflection Groups
• On a mean value property associated with the dunkl laplacian operator and applications
• A positive radial product formula for the Dunkl kernel
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