An analog of Titchmarsh's Theorem for the Dunkl transform

DOI10.1080/10652461003675752zbMath1216.47057OpenAlexW1984771891MaRDI QIDQ3053705

Mostafa Maslouhi

Publication date: 29 October 2010

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

Full work available at URL: https://doi.org/10.1080/10652461003675752

zbMATH Keywords

Dunkl kernelDunkl operatorDunkl transformgeneralised spherical mean operator

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Linear operators on function spaces (general) (47B38) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)

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Cites Work

• Hypoelliptic dunkl convolution equations in the space of distributions on \({\mathbb R}^d\)
• The Dunkl transform
• Positivity of Dunkl's intertwining operator
• Harmonic functions associated to Dunkl operators
• Convolution operator and maximal function for the Dunkl transform
• On the generalized Poisson transform
• Integral Kernels with Reflection Group Invariance
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• Unnamed Item