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Literature cited
Yu. V. Linnik and I. V. Ostrovskii, Decompositions of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).
L. Baumgartner, “Beiträge zur Theorie der ganzen Funktionen von zwei komplexen Veränderlichen,” Monatsh. Math. Phys.,25, 3–70 (1914).
L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).
B. N. Ginzburg, “On the growth of entire characteristic functions of multidimensional probability laws,” Teor. Funkts., Funkts. Anal. Prilozhen., No. 20, 38–49 (1974).
L. I. Ronkin, “On the growth of a function φ(r1, ..., rn) that is convex with respect to in r1,..., in rn,” Dokl. Akad. Nauk SSSR,172, No. 5, 1028–1031 (1967).
L. S. Maergoiz, “Functions of the types of an entire function of several variables with respect to the directions of its growth,” Sib. Mat. Zh.,14, No. 5, 1037–1056 (1973).
G. Shopf, “Dependence of hypersurfaces of associated types for systems of associated orders on the choice of associated orders,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 12, 35–46 (1974).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 4, pp. 489–498, July–August, 1977.
The author thanks L. I. Ronkin for assistance with the article and valuable advice.
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Shopf, G. Associated types of entire characteristic functions of several variables. Ukr Math J 29, 371–379 (1977). https://doi.org/10.1007/BF01085803
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DOI: https://doi.org/10.1007/BF01085803