@Article{ATA-38-417, author = {Bahba , Fida and Ghabi , Rabiaa}, title = {Harmonic Analysis Associated with the Heckman-Opdam-Jacobi Operator on $\mathbb{R}^{d+1}$}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {38}, number = {4}, pages = {417--438}, abstract = {

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 $∆_{HJ}.$

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2019-0012}, url = {http://global-sci.org/intro/article_detail/ata/21357.html} }