Geodesic
Laplace Transformations of Distributions
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1325-1332

Voir la notice de l'article provenant de la source Cambridge University Press

In a previous paper (2), I discussed conditions in order that a holomorphic function f(w) be a Laplace transform of a function F(t) such that, for some a, F(t)e-at ∈ Lp (0, ∞). These conditions involved (a) the behaviour of integral transforms of the values of the function on a vertical line w = const, and (b) conditions involving the order of magnitude of the function at infinity. The present article discusses the corresponding question for Laplace transforms of distributions. 
Cooper, J. L. B. Laplace Transformations of Distributions. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1325-1332. doi: 10.4153/CJM-1966-130-6
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[3] 3. Pólya, G. and Szegö, G., Aufgaben und Lehrsätze aus der Analysis, Vol. 1 (Berlin, 1925). Google Scholar

[4] 4. Schwartz, L., Théorie des distributions, Vol. 11 (Paris, 1951). Google Scholar

[5] 5. Schwartz, L., Transformation de Laplace des distributions, Medd. Lunds Mat. Sem. Supplementband (1952), 196–206. Google Scholar

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