Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 13 (1977) no. 4, pp. 333-356. 
@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'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {333--356},
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     volume = {13},
     number = {4},
     year = {1977},
     mrnumber = {488253},
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}
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Gualtierotti, A. F. Mixtures of gaussian cylinder set measures and abstract Wiener spaces as models for detection. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 13 (1977) no. 4, pp. 333-356. http://archive.numdam.org/item/AIHPB_1977__13_4_333_0/

[1] T.W. Anderson, 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 | Zbl

[2] A. Badrikian and S. Chevet, Mesures cylindriques, espaces de Wiener et fonctions aléatoires gaussiennes. Lecture Notes in Math. 379, Springer Verlag, Berlin, Heidelberg, New York, 1974. | MR | Zbl

[3] P. Baxendale, Gaussian measures on function spaces. Amer. J. Math., vol. 98, 1976, p. 891-952. | MR | Zbl

[4] J.A. De Araya, A Radon-Nikodym theorem for vector and operator valued measures. Pacific J. Math., vol. 29, 1969, p. 1-10. | MR | Zbl

[5] X. Fernique, Intégrabilité des vecteurs gaussiens. C. R. Acad. Sci. (Paris), vol. 270, 1970, p. A1698-A1699. | MR | Zbl

[6] P.A. Fillmore and J.P. Williams, On operator ranges. Adv. in Math., vol. 7, 1971, p. 254-281. | MR | Zbl

[7] A. Gleit and J. Zinn, Admissible and singular translates of measures on vector spaces. Trans. Amer. Math. Soc., vol. 221, 1976, p. 199-211. | MR | Zbl

[8] L. Gross, Measurable functions on Hilbert space. Trans. Amer. Math. Soc., vol. 105, 1962, p. 372-390. | MR | Zbl

[9 a] A.F. Gualtierotti, Extension of Gaussian cylinder set measures. J. Math. Anal. Applic., vol. 57, 1977, p. 12-19. | MR | Zbl

[9 b] On the robustness of Gaussian detection. J. Math. Anal. Applic., vol. 57, 1977, p. 20-26. | MR | Zbl

[9 c] A time-perturbation of Gaussian stochastic processes and some applications to the theory of signal detection. Submitted for publication.

[10] O. Hans, Inverse and adjoint transforms of linear bounded random transforms. Trans. First Prague Conference on Information Theory, Prague, 1957. | MR | Zbl

[11] E. Hille and R.S. Phillips, Functional analysis and semi-groups. Amer. Math. Soc., Providence, R. I., 1957. | MR | Zbl

[12] G. Kallianpur, Abstract Wiener processes and their reproducing kernel Hilbert spaces. Wahrscheinlichkeitstheorie verw. Geb., vol. 17, 1971, p. 113-123. | MR | Zbl

[13] H.H. Kuo, Gaussian measures in Banach spaces. Lecture Notes in Math. 463, Springer Verlag, Berlin, Heidelberg, New York, 1975. | MR | Zbl

[14] A.V. Skorohod, Integration in Hilbert space, Springer Verlag, Berlin, Heidelberg, New York, 1974. | MR | Zbl