On the decomposition of infinitely divisible probability laws without normal factor
Roger Cuppens · Pacific Journal of Mathematics · 1969
In the theory of the decomposition of probability laws, the fundamental problem stated by D. A. Raikov of the characterization of the class I o of the infinitely divisible laws without indecomposable factors has been studied in the case of univariate laws by Yu.V. Linnik and I. V. Ostrovskiy.Lately, we have shown that nearly all these results can be extended to the case of multivariate laws.In this paper, we give a result which can be considered as an extension of a theorem of Raikov and P. Levy and of a particular case of theorems of Linnik, and the extension of this result to the case of several variables.