Literature cited
H. Cramer and H. Wold, “Some theorems on distribution functions,” J. London Math. Soc.,11, 290–294 (1936).
A. N. Kolmogorov, “Problem No. 16,” Usp. Mat, Nauk,5, 233 (1938).
P. O. Kostelyanets and Yu. G. Reshetnyak, “Determination of completely additive function on the basis of its values on half-spaces,” Usp. Mat. Nauk,9, No. 3(61), 135–140 (1954).
A. A. Khachaturov, “Determination of value of measure for region of n-dimensional Euclidean space on the basis of its values for all the half-spaces,” Usp. Mat. Nauk,9, No. 3(61), 205–212 (1954).
I. M. Gelfand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions, Vol. 5, Academic Press (1966).
Yu. V. Linnik, Expansions of Probability Laws [in Russian], Leningrad Univ. Press, Leningrad (1960).
M. G. Krein, “On the continuation of Hermitian position continuous functions,” Dokl. Akad. Nauk SSSR (New Series),26, No. 1, 17–21 (1940).
L. Schwartz, Theorie des Distributions, Vol. 1, Paris (1950); Vol. 2, Paris (1951).
I. M. Gelfand and G. E. Shilov, Generalized Functions, Vols. 1 and 2, Academic Press (1964).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im V. A. Steklova AN SSSR, Vol. 41, pp. 3–13, 1974.
Rights and permissions
About this article
Cite this article
Sapogov, N.A. A uniqueness problem for finite measures in euclidean spaces. J Math Sci 9, 1–8 (1978). https://doi.org/10.1007/BF01086098
Issue Date:
DOI: https://doi.org/10.1007/BF01086098