A Schwartz-type Space for the $\left(k,\frac{2}{n}\right)-$Generalized Fourier Transform

Nelson Faustino, Selma Negzaoui

The Schwartz space $\mathcal{S}({\mathbb{R}}^N)$ is not invariant under the $(k,a)$-generalized Fourier transform ${\mathcal{F}}_{k,a}$ unless $a=2$, and in general no such adapted spa…