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

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arXiv · 1003.3302

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

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Abstract

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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I. Kh. Musin, P. V. Yakovleva. 2010-03-17. On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in ${\mathbb R}^n$ and its dual. https://arxiv.org/abs/1003.3302

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