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Weak convergence of completely additive vector functions on a set. (English) Zbl 0176.44402


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[1] V.A. Zalgaller and Yu.G. Reshetnyak, ”Rectifiable curves, additive vector functions, and skew fields which are shifts of intervals,” Vestnik LGW, No. 2, 45–67 (1954).
[2] Yu.G. Reshetnyak, ”General theorems on semicontinuity and functional convergence,” Sibirsk. Matem. Zh.,8, No. 5, 1052–1071 (1967).
[3] S. Saks, Theory of the Integral, Monografle Matematyczne, Vol. 7, Warsaw (1937). · Zbl 0017.30004
[4] A.D. Aleksandrov, ”Additive set functions on abstract spaces,” Matem. Sb.,8, 307–348 (1940),9, 563–628 (1943),13, 169–238 (1943). · Zbl 0023.39701
[5] V. Feller, Introduction to the Theory of Probability and Its Applications [Russian translation], Mir, Moscow (1967). · Zbl 0158.34902
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