References
A. M. Kagan, Yu. V. Linnik, and C. R. Rao, Characterization Problems of Mathematical Statistics (Wiley, New York, 1973; Nauka, Moscow, 1972).
R. L. Hall, Aequationes Math. 8, 281–286 (1972).
J. A. Baker, Aequations Math. 11, 154–162 (1974).
K. Lajko, Period. Math. Hung. 11(3), 187–195 (1980).
S. Haruki, Period. Math. Hung. 15(3), 181–187 (1984).
G. M. Feldman and P. Graczyk, J. Theor. Probab. 13, 859–869 (2000).
G. M. Feldman, Probab. Theory Relat. Fields 126(1), 91–102 (2003).
G. M. Feldman and P. Graczyk, Teor. Veroyatn. Ee Primen. 49, 596–601 (2004).
K. R. Parthasarathy, Probability Measures on Metric Spaces (Academic, New York, 1967).
S. F. Kozhukhov, Izv. Vyssh. Uchebn. Zaved., Mat., No. 12, 14–19 (1980).
L. Corwin, J. Funct. Anal. 5, 412–427 (1970).
G. M. Feldman, Arithmetic of Probability Distributions and Characterization Problems on Abelian Groups (Am. Math. Soc., Providence, RI, 1993).
Author information
Authors and Affiliations
Additional information
Published in Russian in Doklady Akademii Nauk, 2006, Vol. 410, No. 4, pp. 453–456.
The article was translated by the authors.
Rights and permissions
About this article
Cite this article
Mironyuk, M.V., Feldman, G.M. The Skitovich-Darmois equation in the classes of continuous and measurable functions. Dokl. Math. 74, 700–703 (2006). https://doi.org/10.1134/S1064562406050218
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1064562406050218