Geodesic
Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions on $\mathbb R^n$
Sbornik. Mathematics, Tome 195 (2004) no. 10, pp. 1477-1501 Cet article a éte moissonné depuis la source Math-Net.Ru

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The dual of the space of infinitely smooth functions on $\mathbb R^n$ with partial derivatives satisfying certain weighted estimates is described in terms of the Fourier–Laplace transformation. An integral representation is obtained for the solutions of a homogeneous linear partial differential equation with constant coefficients that belong to this space. 
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I. Kh. Musin. Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions on $\mathbb R^n$. Sbornik. Mathematics, Tome 195 (2004) no. 10, pp. 1477-1501. http://geodesic.mathdoc.fr/item/SM_2004_195_10_a3/

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