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(δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)

By R. Daher and S. El Ouadih

Abstract

Using a generalized Jacobi-Dunkl translation, we obtain an analog of Theorem 5.2 in Younis paper [7] for the Jacobi-Dunkl transform for functions satisfying the (δ,γ)-Jacobi-Dunkl Lipschitz condition in the space L2(R,Aα,β(x)dx), α ≥ β ≥−1/2, α ≠−1/2

Topics: Probabilities. Mathematical statistics, QA273-280, Analysis, QA299.6-433
Publisher: Etamaths Publishing
Year: 2015
OAI identifier: oai:doaj.org/article:e358d2a69b54483e869a31cb1c8d3ece
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