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Literature cited
K. Urbanik, “Generalized convolutions,” Stud. Math.,23, 217–245 (1964).
K. Urbanik, “Generalized convolutions,” Stud. Math.,45, 57–70 (1973).
B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables [in Russian], Gostekhizdat, Moscow (1949).
N. H. Bingham, “Factorization theory and domains of attraction for generalized convolution algebras,” Proc. London Math. Soc.,23, No. 3, 16–30 (1971).
M. Klosowska, “On the domain of attraction for generalized convolution algebras,” Rev. Roum. Math. Pure Appl., Bucarest,22, No. 5, 669–677 (1977).
V. M. Zolotarev, Univariate Stable Distributions [in Russian], Nauka, Moscow (1983).
V. É. Vol'kovich, “On normed rings generated by K. Urbanik's algebras,” Teor. Veroyatn. Primen.,25, 432–433 (1980).
V. É. Vol'kovich, “Normed rings generated by generalized convolutions,” in: Stability Problems for Stochastic Models [in Russian], VNIISI, Moscow (1980), pp. 12–18.
N. H. Bingham, “On a theorem of Klosowska about generalized convolutions,” Colloq. Math.,48, No. 1, 117–125 (1984).
Z. J. Surek, “Some characterizations of the class L in generalized convolution algebras,” Bull. Acad. Polon. Sci., Ser. Math.,29, 409–415 (1981).
K. Urbanik, “Generalized convolutions. III,” Stud. Math.,80, 81–103 (1984).
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Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 126–136, 1985.
In conclusion, I would like to acknowledge the useful comments of V. M. Zolotarev.
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Smirnov, A.K. Some properties of distributions in K. Urbanik's algebras. J Math Sci 40, 552–561 (1988). https://doi.org/10.1007/BF01083654
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DOI: https://doi.org/10.1007/BF01083654