Ukrainian Mathematical Journal

, Volume 29, Issue 4, pp 371–379 | Cite as

Associated types of entire characteristic functions of several variables

  • G. Shopf


Characteristic Function Associate Type Entire Characteristic Function 
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Literature cited

  1. 1.
    Yu. V. Linnik and I. V. Ostrovskii, Decompositions of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).Google Scholar
  2. 2.
    L. Baumgartner, “Beiträge zur Theorie der ganzen Funktionen von zwei komplexen Veränderlichen,” Monatsh. Math. Phys.,25, 3–70 (1914).Google Scholar
  3. 3.
    L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).Google Scholar
  4. 4.
    B. N. Ginzburg, “On the growth of entire characteristic functions of multidimensional probability laws,” Teor. Funkts., Funkts. Anal. Prilozhen., No. 20, 38–49 (1974).Google Scholar
  5. 5.
    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).Google Scholar
  6. 6.
    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).Google Scholar
  7. 7.
    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).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • G. Shopf
    • 1
  1. 1.German Democratic Republic

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