Anisotropic Shubin operators and eigenfunctions expansions in Gelfand-Shilov spaces

Marco Cappiello, Todor Gramchev, Stevan Pilipovic +1

We derive new results on the characterization of Gelfand--Shilov spaces ${\mathcal{S}}_{\nu }^{\mu }({\mathbb{R}}^n)$, $\mu ,\nu >0$, $\mu +\nu \ge 1$ by Gevrey estimates of the $L^2$ norms of iterates of $(m,k)$…