@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'I.H.P. Probabilit\'es et statistiques}, volume = {11}, year = {1975}, pages = {397-404}, mrnumber = {394787}, zbl = {0322.60005}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1975__11_4_397_0} }
Kannan, D.; Kannappan, Pl. On a characterization of gaussian measures in a Hilbert space. Annales de l'I.H.P. Probabilités et statistiques, Tome 11 (1975) pp. 397-404. http://gdmltest.u-ga.fr/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 273295 | Zbl 0214.13601
,[2] An Introduction to Probability Theory and Its Applications, vol. II, John Wiley, New York, 1966. | MR 210154 | Zbl 0138.10207
,[3] Probability Theory and Mathematical Statistics. John Wiley, New York, 1963. | MR 164358 | Zbl 0123.34504
,[4] On the densities of probability measures in function spaces. Russian Math. Surveys, vol. 6, 1966, p. 83-156. | Zbl 0203.17101
and ,[5] On a characterization of the normal distribution. Amer. J. Math., vol. 61, 1939, p. 726-728. | MR 371 | Zbl 0022.06102
,[6] Probability Measures on Metric Spaces. Academic Press, New York, 1967. | MR 226684 | Zbl 0153.19101
,[7] A characterization of normal distributions in Hilbert space. Theory Prob. Appl., vol. 2, 1957, p. 468-469.
and ,