On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in ${\mathbb R}^n$ and its dual

I. Kh. Musin; P. V. Yakovleva

paper

On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in $R^{n}$ and its dual

arXiv:1003.3302

Abstract

Description of linear continuous functionals on a space of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in $R^{n}$ in terms of their Fourier-Laplace transform is obtained.

LaTeX, 24 pages

On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in Rn and its dual

Abstract

On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in $R^{n}$ and its dual