Speaker
Ildar Musin
(Institute of Mathematics with Computing Centre of RAS)
Description
Following the scheme of constructing of Gelfand-Shilov spaces of type $S$ three new spaces of rapidly decreasing infinitely differentiable functions in ${\mathbb R}^n$ will be defined with a help of families of separately radial convex weight functions in ${\mathbb R}^n$. Under some mild restrictions on weight functions these spaces will be characterized via Fourier transforms. Some interesting particular cases of such spaces corresponding to special families of weight functions will be considered. This is a joint work with R.S. Yulmukhametov and A.V. Lutsenko.
