Geodesic
On the Watson and Laplace Transformations
Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 247-253

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

Let k be the kernel of a Watson transformation; that is k(x)/x ε L2(0,∞), and if x and y are positive, 1 Then if g is the transform of F ε L2(0,∞), that is if 2 it i s known that g 2(0,∞), that 3 and that 4 For these results see [1; theorem 79]. 
Rooney, P. G.; Schubert, C. On the Watson and Laplace Transformations. Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 247-253. doi: 10.4153/CMB-1960-031-3
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[1] 1. Bochner, S. and Chandrasekharan, K., Fourier Transforms, (Princeton, 1949). Google Scholar

[2] 2. Doetsch, G., Handbuch der Laplace Transformation I, (Basel, 1950). Google Scholar

[3] 3. Erdélyi, A. et al., Tables of Integral Transforms I, (New York, 1954). Google Scholar

[4] 4. Rooney, P. G., On some theorems of Doetsch, Canad. J. Math. 10 (1958), 421-430. Google Scholar

[5] 5. Rooney, P. G., On the inversion of general transformations, Canad. Math. Bull. 2 (1959) 19-24. Google Scholar

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