On a characterization of Gaussian distributions on Abelian groups by constancy of regression
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 3, pp. 606-610

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This note gives a complete description of locally compact Abelian groups $X$ which are appropriate for characterizing Gaussian distribution by constancy of regression.
Keywords: locally compact Abelian group, Gaussian distribution
Mots-clés : regression.
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     author = {G. M. Feldman},
     title = {On a characterization of {Gaussian} distributions on {Abelian} groups by constancy of regression},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {606--610},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_3_a11/}
}
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G. M. Feldman. On a characterization of Gaussian distributions on Abelian groups by constancy of regression. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 3, pp. 606-610. http://geodesic.mathdoc.fr/item/TVP_1998_43_3_a11/