2 problems

Let $N\in\mathbb{N}$, $a>0$, and let $\Delta_k$ denote the Dunkl Laplacian. Define $\mathcal{S}_{k,a}(\mathbb{R}^N)$ as the space of all functions…

The $(\kappa,a)$-generalized Fourier transform has Schwartz distribution kernel $B_{\kappa,a}(x,y)$, where $\kappa$ is a multiplicity function, $a$ is the deformation parameter,…