Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)
In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh’s theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the space Lp(R,Aα,β(t)dt),α ≥ β ≥−1/2, α≠−1/2.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2015-08-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/552 |