@article{AIHPB_1979__15_2_127_0, author = {Pellaumail, Jean and Weron, Aleksander}, title = {Integrals related to stationary processes and cylindrical martingales}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {15}, year = {1979}, pages = {127-146}, mrnumber = {548468}, zbl = {0416.60044}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1979__15_2_127_0} }
Pellaumail, J.; Weron, A. Integrals related to stationary processes and cylindrical martingales. Annales de l'I.H.P. Probabilités et statistiques, Tome 15 (1979) pp. 127-146. http://gdmltest.u-ga.fr/item/AIHPB_1979__15_2_127_0/
[Bar] A general bilinear vector integral. Studia Math., t. 15, 1956, p. 337-352. | MR 80721 | Zbl 0070.28102
,[ChW1] Stationary processes in pseudo-Hilbertian space (in Russian), Bull. Acad. Polon., t. 21, 1973, p. 847-854. | Zbl 0269.60034
and ,[ChW2] Banach space valued stationary processes and their linear prediction. Dissertationes Math., t. 125, 1975, p. 1-45. | MR 451373 | Zbl 0342.60031
and ,[Dou] On factoring positive operator functions. J. Math. Mech., t. 16, 1966, p. 119-126. | MR 209887 | Zbl 0149.09901
,[DuS] Linear operators. Part. 1. Intersciences Publishers, 1967. | Zbl 0084.10402
and ,[Loy] Linear operator in Vh-spaces, Trans. Amer. Math. Soc., t. 116, 1965, p. 167-180. | MR 192359 | Zbl 0138.39103
,[Mas] The square integrability of operator-valued functions with respect to a non-negative operator valued measure and the Kolmogorov isomorphism theorem. Indiana University Mathematical Journal. vol. 20, n° 6, December 1970. | MR 267069 | Zbl 0252.46040
and ,[Mas] Quasi isometric measures and their applications. Bull. Amer. Math. Soc., vol. 76, n° 3, 1970. | MR 259062 | Zbl 0207.44001
,[Met1] Integration with respect to processes of linear fonctionnals. Séminaire de Probabilité de Rennes, 1975.
,[Met2] Cylindrical martingales and stochastic integrals. Lecture on the conference. Probability Theory on vector spaces. Trzebieszowice, 1977 (non published).
,[MeP1] Cylindrical stochastic integral. Séminaire de Rennes, 1976.
and ,[MeP2] A basic course on stochastic integration. Séminaire de Rennes, 1978.
and ,[Pel] Sur la dérivation d'une mesure vectorielle. Bull. Soc. Math. France, t. 98, 1970, p. 305-318. | Numdam | MR 276431 | Zbl 0193.43003
,[Tre] Topological vector spaces, distributions and kernels. Academic Press, 1967. | MR 225131 | Zbl 0171.10402
,[Wel] Constructions of the Hilbert space L2,M for operator measures. Proc. Symp. on vector and Operator measures. A. Utah, 1972. | Zbl 0298.46038
,[Wer1] Prediction theory in Banach spaces. Lecture Notes in Math., vol. 472, 1975, p. 207-227. | MR 394849 | Zbl 0314.60032
,[Wer2] Remarks on positive-definite operator valued functions in Banach spaces. Bull. Acad. Polon., t. 24, 1976, p. 873-876. | MR 433233 | Zbl 0343.47002
,[Wer3] Second order stochastic processes and the dilation theory in Banach spaces (to appear). | Numdam | MR 575174 | Zbl 0445.60010
,[Yos] Functionnal analysis. Second printing, Springer Verlag, 1966.
,