@article{AIHPB_1980__16_1_29_0, author = {Weron, Aleksander}, title = {Second order stochastic processes and the dilation theory in {Banach} spaces}, journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques}, pages = {29--38}, publisher = {Gauthier-Villars}, volume = {16}, number = {1}, year = {1980}, mrnumber = {575174}, zbl = {0445.60010}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1980__16_1_29_0/} }
TY - JOUR AU - Weron, Aleksander TI - Second order stochastic processes and the dilation theory in Banach spaces JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1980 SP - 29 EP - 38 VL - 16 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1980__16_1_29_0/ LA - en ID - AIHPB_1980__16_1_29_0 ER -
%0 Journal Article %A Weron, Aleksander %T Second order stochastic processes and the dilation theory in Banach spaces %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1980 %P 29-38 %V 16 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1980__16_1_29_0/ %G en %F AIHPB_1980__16_1_29_0
Weron, Aleksander. Second order stochastic processes and the dilation theory in Banach spaces. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Volume 16 (1980) no. 1, pp. 29-38. http://archive.numdam.org/item/AIHPB_1980__16_1_29_0/
[1] Banach space valued stationary processes and their linear prediction, Dissertationes Math., t. 125, 1975, p. 1-45. | MR | Zbl
and ,[2] An analogue of Sz.-Nagy's dilation theorem, Bull. Acad. Polon. Sci., t. 24, 1976, p. 867-872. | MR | Zbl
and ,[3] Aronszajn-Kolmogorov type theorems for positive definite kernels in locally convex spaces, Studia Math., t. 69 (to appear). | MR | Zbl
and ,[4] An isomorphic theorem for Banach space valued stationary stochastic sequences, Bull. Acad. Polon. Sci., t. 26, 1978, p. 169-173. | MR | Zbl
,[5] A decomposition of the density of operator valued measure in Banach spaces, Bull. Acad. Polon. Sci. (to appear).
and ,[6] Subordination of infinite-dimensional stationary stochastic processes, Ann. Inst. Henri Poincaré, t. 6, 1970, p. 115-130. | Numdam | MR | Zbl
and ,[7] Dilations as propagators of Hilbertian varieties, S. I. A. M. J. Anal., t. 9, 1978, p. 414-456. | MR | Zbl
,[8]Propagators and dilations, Lecture Notes in Math., p. 656, 1978, p. 95-117, Springer Verlag. | MR | Zbl
,[9]Integrations with respect to processes of linear functionals, Séminaire de Rennes, 1975.
,[10]Cylindrical stochastic integral, Séminaire de Rennes, 1976.
and ,[11] Dilations of Hilbert space operators (general theory), Dissertationes Math., t. 153, 1978, p. 1-61. | MR | Zbl
,[12]Dilations of Banach space operator valued functions, Ann. Polon. Math. (to appear). | MR | Zbl
and ,[13] Examples of non-stationary Banach space valued processes of second order, Lecture Notes in Math., t. 656, 1978, p. 171- 181, Springer Verlag. | Zbl
and ,[14] Functions aleatoires du second ordre a valeurs dans un espace de Hilbert, Ann. Inst. Henri Poincaré, t. 3, 1967, p. 323-396. | Numdam | MR | Zbl
,[15] Mutual subordination of multivariate stationary processes over any locally compact Abelian group, Z. Wahrschernlichkeits theorie verw. Geb., t. 12, 1969, p. 333-343. | MR | Zbl
,[16] On the boundedness condition involved in dilation theory, Bull. Acad. Polon, t. 24, 1976, p. 877-881. | MR | Zbl
,[17]Dilations on involution semigroups, Proc. Amer. Math. Soc. | MR | Zbl
,[18] Apropos Professor Masani's talk, Lecture Notes in Math., t. 656, 1978, p. 245-249. | MR | Zbl
,[19] Prediction theory in Banach spaces, Lecture Notes in Math., t. 472, 1975, p. 207-228, Springer Verlag. | MR | Zbl
,[20] Remarks on positive-definite operator valued functions in Banach spaces, Bull. Acad. Polon. t. 24, 1976, p. 873-876. | MR | Zbl
,