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Multidimensional Tauberian theorems and their application to Bellman–Harris branching processes
Sbornik. Mathematics, Tome 43 (1982) no. 3, pp. 413-425 Cet article a éte moissonné depuis la source Math-Net.Ru

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Multidimensional generalizations of the Tauberian theorems of Karamata are obtained, along with two applications of them to the investigation of Bellman–Harris branching processes. Bibliography: 10 titles. 
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     title = {Multidimensional {Tauberian} theorems and their application to {Bellman{\textendash}Harris} branching processes},
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A. L. Yakymiv. Multidimensional Tauberian theorems and their application to Bellman–Harris branching processes. Sbornik. Mathematics, Tome 43 (1982) no. 3, pp. 413-425. http://geodesic.mathdoc.fr/item/SM_1982_43_3_a8/

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[2] Vladimirov V. S., “Mnogomernoe obobschenie tauberovoi teoremy Khardi i Littlvuda”, Izv. AN SSSR, ser. matem., 40 (1976), 1084–1101 | MR | Zbl

[3] Vladimirov V. S, Zavyalov B. I., “Tauberovy teoremy v kvantovoi teorii polya”, Itogi nauki i tekhniki: Sovremennye problemy matematiki, 15, VINITI, M., 1980, 95–130

[4] Drozhzhinov Yu. I., Zavyalov B. I., “Tauberovy teoremy dlya obobschennykh funktsii s nositelyami v konusakh”, Matem. sb., 108(150) (1979), 78–90 | MR | Zbl

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[6] Yakymiv A., “Redutsirovannye vetvyaschiesya protsessy”, Teoriya veroyatn., XXV:3 (1980), 593–596 | MR

[7] Yakymiv A., Dokriticheskie i nadkriticheskie redutsirovannye vetvyaschiesya protsessy, Rabota deponirovana v VINITI AN SSSR, No 2226-80 ot 5 iyunya 1980 g | Zbl

[8] Esty W. W., “Critical age-dependent branching processes”, Ann. Prob., 25:1 (1975), 49–60 | DOI | MR

[9] Fleishmann K., Siegmund-Shultze R., “The structure of reduced Galton–Watson processes”, Math. Nachr., 79 (1977), 233–241 | DOI | MR

[10] Seneta E., Regularly varying functiones, Lecture Notes in Math., 508, 1976 | MR