Geodesic
Representation Theories for the Laplace Transform
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 333-345

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

The Widder-Post real inversion operator [4[ is defined by 1.1 k = 1, 2,.... Utilizing this inversion operator one can obtain the following representation theorem (see e.g. [4[ Chapter VII, Theorem 15a). 
Heinig, H. P. Representation Theories for the Laplace Transform. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 333-345. doi: 10.4153/CMB-1967-030-4
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[1] 1. Lorentz, G. G., Bernstein Polynomials. Toronto (1955). Google Scholar

[2] 2. Rooney, P. G., A Generalization of some Theorems of Hardy. Trans. Royal Soc. Can., Ser III, Sect. Ill (XLIX), (1955). Google Scholar

[3] 3. Taylor, A. E., Introduction to Functional Analysis. New York (1955). Google Scholar

[4] 4. Widder, D. V., The Laplace Transform. Princeton (1944). Google Scholar

[5] 5. Zygmund, A., Trigonometric Series. Vol. I. Cambridge (1955). Google Scholar

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