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A New Inversion and Representation Theory for the Laplace Transform
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 447-455

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If 1.1 and 1.2 a ≥ 0, k=1, 2, 3, ...; where is the Laguerre polynomial of order v, defined bythen we shall show that under certain conditions 1.3 Following the inversion theory, two representation theorems are given. The proofs of these theorems follow easily along the lines of Widder [4, Ch. VII] and are therefore omitted. 
Heinig, H. P. A New Inversion and Representation Theory for the Laplace Transform. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 447-455. doi: 10.4153/CMB-1966-054-0
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     author = {Heinig, H. P.},
     title = {A {New} {Inversion} and {Representation} {Theory} for the {Laplace} {Transform}},
     journal = {Canadian mathematical bulletin},
     pages = {447--455},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-054-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-054-0/}
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