Dunkl completely monotonic functions

DOI10.1080/10236198.2017.1408607zbMath1384.26033arXiv1506.01672OpenAlexW3101580571MaRDI QIDQ5374277

Jamel El Kamel, Khaled Mehrez

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01672

zbMATH Keywords

Dunkl operatorsDunkl translationDunkl completely monotonic functionsDunkl positive definite functionsthe Kummer confluent hypergeometric functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Monotonic functions, generalizations (26A48) Orthogonal polynomials and functions associated with root systems (33C52)

Cites Work

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• Positivity of Dunkl's intertwining operator
• Convolution operator and maximal function for the Dunkl transform
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class W_M^r,b
• Scattered Data Approximation

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