Aim of this paper is to introduce a generalization of Gelfand-Shilov classes by means of estimates based on a complete polyhedron (see for instance Gindikin-Volevich ). This class includes the standard Gelfand-Shilov functions and their anisotropic version.
"Gelfand-Shilov classes of multi-anisotropic type." Funct. Approx. Comment. Math. 40 (2) 297 - 307, June 2009. https://doi.org/10.7169/facm/1246454032