@article{AIHPB_1977__13_4_333_0, author = {Gualtierotti, A. F.}, title = {Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {13}, year = {1977}, pages = {333-356}, mrnumber = {488253}, zbl = {0386.60034}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1977__13_4_333_0} }
Gualtierotti, A. F. Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection. Annales de l'I.H.P. Probabilités et statistiques, Tome 13 (1977) pp. 333-356. http://gdmltest.u-ga.fr/item/AIHPB_1977__13_4_333_0/
[1] The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proc. Amer. Math. Soc., vol. 6, 1955, p. 170-176. | MR 69229 | Zbl 0066.37402
,[2] Mesures cylindriques, espaces de Wiener et fonctions aléatoires gaussiennes. Lecture Notes in Math. 379, Springer Verlag, Berlin, Heidelberg, New York, 1974. | MR 420760 | Zbl 0288.60009
and ,[3] Gaussian measures on function spaces. Amer. J. Math., vol. 98, 1976, p. 891-952. | MR 467809 | Zbl 0384.28011
,[4] A Radon-Nikodym theorem for vector and operator valued measures. Pacific J. Math., vol. 29, 1969, p. 1-10. | MR 245753 | Zbl 0179.46801
,[5] Intégrabilité des vecteurs gaussiens. C. R. Acad. Sci. (Paris), vol. 270, 1970, p. A1698-A1699. | MR 266263 | Zbl 0206.19002
,[6] On operator ranges. Adv. in Math., vol. 7, 1971, p. 254-281. | MR 293441 | Zbl 0224.47009
and ,[7] Admissible and singular translates of measures on vector spaces. Trans. Amer. Math. Soc., vol. 221, 1976, p. 199-211. | MR 436244 | Zbl 0333.28005
and ,[8] Measurable functions on Hilbert space. Trans. Amer. Math. Soc., vol. 105, 1962, p. 372-390. | MR 147606 | Zbl 0178.50001
,[9 a] Extension of Gaussian cylinder set measures. J. Math. Anal. Applic., vol. 57, 1977, p. 12-19. | MR 433573 | Zbl 0351.62006
,[9 b] On the robustness of Gaussian detection. J. Math. Anal. Applic., vol. 57, 1977, p. 20-26. | MR 433580 | Zbl 0351.62007
[9 c] A time-perturbation of Gaussian stochastic processes and some applications to the theory of signal detection. Submitted for publication.
[10] Inverse and adjoint transforms of linear bounded random transforms. Trans. First Prague Conference on Information Theory, Prague, 1957. | MR 100908 | Zbl 0087.33103
,[11] Functional analysis and semi-groups. Amer. Math. Soc., Providence, R. I., 1957. | MR 89373 | Zbl 0078.10004
and ,[12] Abstract Wiener processes and their reproducing kernel Hilbert spaces. Wahrscheinlichkeitstheorie verw. Geb., vol. 17, 1971, p. 113-123. | MR 281242 | Zbl 0194.49003
,[13] Gaussian measures in Banach spaces. Lecture Notes in Math. 463, Springer Verlag, Berlin, Heidelberg, New York, 1975. | MR 461643 | Zbl 0306.28010
,[14] Integration in Hilbert space, Springer Verlag, Berlin, Heidelberg, New York, 1974. | MR 466482 | Zbl 0307.28010
,