Abstract
We consider the subspace of the Schwartz space of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in a multidimensional real space equipped with the topology defined by a countable family of norms constructed with the help of a family of convex separately radial functions in ℝn. We describe the strong dual of this subspace in terms of the Fourier–Laplace transform of functionals.
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