On the sample continuity of g'-processes

Itaru MITOMA

doi:10.2969/jmsj/03540629

Itaru MITOMA

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 4 Pages 629-636

DOI https://doi.org/10.2969/jmsj/03540629

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Published: 1983 Received: July 22, 1982 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : On the sample continuity of _??_'-processes
Right : On the sample continuity of g'-processes

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Badrikian, Remarques sur les theoremes de Bochner et P. Lévy, “Symposium on probability method in analysis,” pp. 1-19, Lecture Notes in Math., 31, Springer-Verlag, Berlin-Heidelberg-New York, 1967.
2) K. Ito, Various problems for stochastic differential equations on infinite dimensionalvector spaces, “Stochastic differential equations on manifolds,” Kokyuroku, RIMS, Kyoto University, 391 (1980), 91-107, (in Japanese).
3) I. Mitoma, On the norm continuity of _??_'-valued Gaussian processes, Nagoya Math. J., 82 (1981), 209-220.
4) I. Mitoma, Continuity of stochastic processes with values in the dual of a nuclear space, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 63 (1983), 271-279.
5) D. Xia, “Measure and integration theory on infinite-dimensional spaces,” Academic Press, New York and London, 1972.

Right : [1] A. Badrikian, Remarques sur les theoremes de Bochner et P. Lévy, “Symposium on probability method in analysis,” pp. 1-19, Lecture Notes in Math., 31, Springer-Verlag, Berlin-Heidelberg-New York, 1967.
[2] K. Itô, Various problems for stochastic differential equations on infinite dimensionalvector spaces, “Stochastic differential equations on manifolds,” Kokyuroku, RIMS, Kyoto University, 391 (1980), 91-107, (in Japanese).
[3] I. Mitoma, On the norm continuity of g'-valued Gaussian processes, Nagoya Math. J., 82 (1981), 209-220.
[4] I. Mitoma, Continuity of stochastic processes with values in the dual of a nuclear space, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 63 (1983), 271-279.
[5] D. Xia, “Measure and integration theory on infinite-dimensional spaces,” Academic Press, New York and London, 1972.

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