@Article{ATA-38-4,
author = {Fida, Bahba and Rabiaa, Ghabi},
title = {Harmonic Analysis Associated with the Heckman-Opdam-Jacobi Operator on $\mathbb{R}^{d+1}$},
journal = {Analysis in Theory and Applications},
year = {2022},
volume = {38},
number = {4},
pages = {417--438},
abstract = {<p style="text-align: justify;">In this paper we consider the Heckman-Opdam-Jacobi operator $∆_{HJ}$ on $\mathbb{R}^{d+1}.$ We define the Heckman-Opdam-Jacobi intertwining operator $V_{HJ},$ which turns out to
be the transmutation operator between $∆_{HJ}$ and the Laplacian $∆_{d+1}.$ Next we construct $^tV_{HJ}$ the dual of this intertwining operator. We exploit these operators to develop a
new harmonic analysis corresponding to $∆_{HJ}.$</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2019-0012},
url = {https://global-sci.com/article/73764/harmonic-analysis-associated-with-the-heckman-opdam-jacobi-operator-on-mathbbrd1}
}