Integrals related to stationary processes and cylindrical martingales
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 15 (1979) no. 2, pp. 127-146. 
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     author = {Pellaumail, J. and Weron, A.},
     title = {Integrals related to stationary processes and cylindrical martingales},
     journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {127--146},
     publisher = {Gauthier-Villars},
     volume = {15},
     number = {2},
     year = {1979},
     mrnumber = {548468},
     zbl = {0416.60044},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1979__15_2_127_0/}
}
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Pellaumail, J.; Weron, A. Integrals related to stationary processes and cylindrical martingales. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 15 (1979) no. 2, pp. 127-146. http://www.numdam.org/item/AIHPB_1979__15_2_127_0/

[Bar] R.G. Bartle, A general bilinear vector integral. Studia Math., t. 15, 1956, p. 337-352. | MR | Zbl

[ChW1] S.A. Chobanyan and A. Weron, Stationary processes in pseudo-Hilbertian space (in Russian), Bull. Acad. Polon., t. 21, 1973, p. 847-854. | Zbl

[ChW2] S.A. Chobanyan and A. Weron, Banach space valued stationary processes and their linear prediction. Dissertationes Math., t. 125, 1975, p. 1-45. | MR | Zbl

[Dou] R.G. Douglas, On factoring positive operator functions. J. Math. Mech., t. 16, 1966, p. 119-126. | MR | Zbl

[DuS] N. Dunford and J.T. Schwartz, Linear operators. Part. 1. Intersciences Publishers, 1967. | Zbl

[Loy] R.M. Loynes, Linear operator in Vh-spaces, Trans. Amer. Math. Soc., t. 116, 1965, p. 167-180. | MR | Zbl

[Mas] V. Mandrekar and H. Salehi, 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 | Zbl

[Mas] P. Masani, Quasi isometric measures and their applications. Bull. Amer. Math. Soc., vol. 76, n° 3, 1970. | MR | Zbl

[Met1] M. Metivier, Integration with respect to processes of linear fonctionnals. Séminaire de Probabilité de Rennes, 1975.

[Met2] M. Metivier, Cylindrical martingales and stochastic integrals. Lecture on the conference. Probability Theory on vector spaces. Trzebieszowice, 1977 (non published).

[MeP1] M. Metivier and J. Pellaumail, Cylindrical stochastic integral. Séminaire de Rennes, 1976. | EuDML

[MeP2] M. Metivier and J. Pellaumail, A basic course on stochastic integration. Séminaire de Rennes, 1978.

[Pel] J. Pellaumail, Sur la dérivation d'une mesure vectorielle. Bull. Soc. Math. France, t. 98, 1970, p. 305-318. | EuDML | Numdam | MR | Zbl

[Tre] F. Treves, Topological vector spaces, distributions and kernels. Academic Press, 1967. | MR | Zbl

[Wel] J.N. Welsh, Constructions of the Hilbert space L2,M for operator measures. Proc. Symp. on vector and Operator measures. A. Utah, 1972. | Zbl

[Wer1] A. Weron, Prediction theory in Banach spaces. Lecture Notes in Math., vol. 472, 1975, p. 207-227. | MR | Zbl

[Wer2] A. Weron, Remarks on positive-definite operator valued functions in Banach spaces. Bull. Acad. Polon., t. 24, 1976, p. 873-876. | MR | Zbl

[Wer3] A. Weron, Second order stochastic processes and the dilation theory in Banach spaces (to appear). | Numdam | MR | Zbl

[Yos] K. Yosida, Functionnal analysis. Second printing, Springer Verlag, 1966.