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arxiv: math/9911067 · v1 · pith:3DNONQ4Lnew · submitted 1999-11-10 · 🧮 math.FA

On the Fourier-Laplace Transform of Functionals on a Weighted Space of Infinitely Differentiable Functions

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keywords spacedifferentiablefourier-laplacefunctionalsfunctionsinfinitelyweightedcontinuous
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The strong dual space of linear continuous functionals on a weighted space G of infinitely differentiable functions defined on the real line is described in terms of their Fourier-Laplace transforms.

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