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

Mathematics – Complex Variables

Scientific paper

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LaTeX, 24 pages

Scientific paper

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

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