In this paper we give a characterization of the multivariate normal distribution through the conditional distributions in the most general case, which include the singular distribution.
@article{urn:eudml:doc:38517, title = {Characterizing the general multivariate normal distribution through the conditional distributions.}, journal = {Extracta Mathematicae}, volume = {12}, year = {1997}, pages = {15-18}, zbl = {0881.62057}, mrnumber = {MR1482409}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38517} }
Ardanuy Albajar, Ramón; López Fidalgo, Jesús F. Characterizing the general multivariate normal distribution through the conditional distributions.. Extracta Mathematicae, Tome 12 (1997) pp. 15-18. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38517/