Geodesic
Arithmetic of Levitan's generalized characteristic functions
Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 56-58

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Some properties are stated for functions of the form $\int^\infty_0\varphi(x;\lambda)F(dx)$, $\lambda\geqslant0$, where $F$ is a distribution on the halfline $[0,\infty)$. 
@article{ZNSL_1976_61_a4,
     author = {A. I. Il'inskii},
     title = {Arithmetic of {Levitan's} generalized characteristic functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {56--58},
     publisher = {mathdoc},
     volume = {61},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a4/}
}
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A. I. Il'inskii. Arithmetic of Levitan's generalized characteristic functions. Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 56-58. http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a4/