@article{AIHPB_1975__11_4_397_0, author = {Kannan, D. and Kannappan, Pl.}, title = {On a characterization of gaussian measures in a {Hilbert} space}, journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques}, pages = {397--404}, publisher = {Gauthier-Villars}, volume = {11}, number = {4}, year = {1975}, mrnumber = {394787}, zbl = {0322.60005}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1975__11_4_397_0/} }
TY - JOUR AU - Kannan, D. AU - Kannappan, Pl. TI - On a characterization of gaussian measures in a Hilbert space JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1975 SP - 397 EP - 404 VL - 11 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1975__11_4_397_0/ LA - en ID - AIHPB_1975__11_4_397_0 ER -
%0 Journal Article %A Kannan, D. %A Kannappan, Pl. %T On a characterization of gaussian measures in a Hilbert space %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1975 %P 397-404 %V 11 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1975__11_4_397_0/ %G en %F AIHPB_1975__11_4_397_0
Kannan, D.; Kannappan, Pl. On a characterization of gaussian measures in a Hilbert space. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 11 (1975) no. 4, pp. 397-404. http://archive.numdam.org/item/AIHPB_1975__11_4_397_0/
[1] Generalized Gaussian measures and a « Functional equation », III. Advances in Math., vol. 6, 1971, p. 239-251. | MR | Zbl
,[2] An Introduction to Probability Theory and Its Applications, vol. II, John Wiley, New York, 1966. | MR | Zbl
,[3] Probability Theory and Mathematical Statistics. John Wiley, New York, 1963. | MR | Zbl
,[4] On the densities of probability measures in function spaces. Russian Math. Surveys, vol. 6, 1966, p. 83-156. | Zbl
and ,[5] On a characterization of the normal distribution. Amer. J. Math., vol. 61, 1939, p. 726-728. | MR | Zbl
,[6] Probability Measures on Metric Spaces. Academic Press, New York, 1967. | MR | Zbl
,[7] A characterization of normal distributions in Hilbert space. Theory Prob. Appl., vol. 2, 1957, p. 468-469.
and ,