On the kernel of the $(\kappa ,a)$-generalized Fourier transform

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

For the kernel $B_{\kappa ,a}(x,y)$ of the $(\kappa ,a)$-generalized Fourier transform ${\mathcal{F}}_{\kappa ,a}$, acting in $L^2({\mathbb{R}}^d)$ with the weight $|x{|}^{a-2}{v}_{\kappa }(x)$, where $v_{\kappa }$ is…