@article{AIHPB_1985__21_4_393_0, author = {Okazaki, Yoshiaki}, title = {Equivalent-singular dichotomy for quasi-invariant ergodic measures}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {21}, year = {1985}, pages = {393-400}, mrnumber = {823083}, zbl = {0582.60004}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1985__21_4_393_0} }
Okazaki, Yoshiaki. Equivalent-singular dichotomy for quasi-invariant ergodic measures. Annales de l'I.H.P. Probabilités et statistiques, Tome 21 (1985) pp. 393-400. http://gdmltest.u-ga.fr/item/AIHPB_1985__21_4_393_0/
[1] Mesures gaussiennes et mesures produits. Springer-Verlag, Lecture Notes in Math., t. 920, 1982, p. 570-580. | Numdam | MR 658715 | Zbl 0504.28017
and ,[2] Equivalence and perpendicularity of Gaussian Processes. Pacific J. Math., t. 8, 1958, p. 699-708. | MR 102760 | Zbl 0084.13001
,[3] Comparaison de mesures gaussiennes et de mesures produits. Ann. Inst. H. Poincaré, t. 20, 1985, p. 165-175. | Numdam | MR 749622 | Zbl 0536.60047
,[4] On a property of normal distributions of any stochastic processes. Selected translations in Math. Statis. Prob., t. 1, 1958-1961, p. 245-252. | MR 116379 | Zbl 0112.09702
,[5] Abstract harmonic analysis. Die Grundlehren der Math. Wiss., t. 115, Springer-Verlag, 1963. | Zbl 0115.10603
and ,[6] On the convergence of sums of independent random variables. Osaka J. Math., t. 5, 1968, p. 35-48. | MR 235593 | Zbl 0177.45102
and ,[7] A survey about zero-one laws for probability measures on linear spaces and locally compact groups. Springer-Verlag, Lecture Notes in Math., t. 1064, 1984, p. 551-563. | MR 772429 | Zbl 0542.60036
,[8] On equivalence of infinite product measures. Ann. of Math., t. 49, 1948, p. 214-224. | MR 23331 | Zbl 0030.02303
,[9] Equivalence singularity dichotomies for a class of ergodic measures. Math. Proc. Camb. Phil. Soc., t. 81, 1977, p. 249-252. | MR 436306 | Zbl 0383.60041
,[10] Uber einen Satz von Herrn M. H. Stone. Ann. of Math., t. 33, 1932, p. 567-573. | JFM 58.0423.03 | MR 1503076 | Zbl 0005.16402
,[11] Infinite-dimensional Gaussian distributions. Proc. Steklov Inst. Math., t. 108, 1968, A. M. S. (English translation). | MR 298752 | Zbl 0245.60036
,[12] Separabilities of a Gaussian Radon measure. Ann. Inst. H. Poincaré, t. 11, 1975, p. 287-298. | Numdam | MR 400323 | Zbl 0362.60015
and ,[13] Integration in Hilbert space. Ergebnisse der Math., t. 79, Springer-Verlag, 1974. | MR 466482 | Zbl 0307.28010
,[14] Lois e(λ) dans les espaces vectoriels et lois stables. Z. Wahrscheinlichkeitstheorie verw., t. 37, 1976, p. 175-182. | MR 428371 | Zbl 0335.60013
,[15] Zero-one laws for non-Gaussian measures. Proc. of A. M. S., t. 44, 1974, p. 179-185. | MR 345158 | Zbl 0309.60022
,