A Cameron-Martin translation theorem for a Gaussian measure on $C(Y)$
HTML articles powered by AMS MathViewer
- by J. D. Kuelbs PDF
- Proc. Amer. Math. Soc. 19 (1968), 109-114 Request permission
References
- R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under translations, Ann. of Math. (2) 45 (1944), 386–396. MR 10346, DOI 10.2307/1969276
- R. H. Cameron and Ross E. Graves, Additive functionals on a space of continuous functions. I, Trans. Amer. Math. Soc. 70 (1951), 160–176. MR 40590, DOI 10.1090/S0002-9947-1951-0040590-8
- J. Yeh, Cameron-Martin translation theorems in the Wiener space of functions of two variables, Trans. Amer. Math. Soc. 107 (1963), 409–420. MR 189138, DOI 10.1090/S0002-9947-1963-0189138-6
- M. Marcus and N. A. Khan, A note on the Hadamard product, Canad. Math. Bull. 2 (1959), 81–83. MR 105424, DOI 10.4153/CMB-1959-012-2
- James Kuelbs, Measures on $C(Y)$ when $Y$ is a compact metric space, Proc. Amer. Math. Soc. 18 (1967), 248–254. MR 208666, DOI 10.1090/S0002-9939-1967-0208666-7
- R. E. A. C. Paley, N. Wiener, and A. Zygmund, Notes on random functions, Math. Z. 37 (1933), no. 1, 647–668. MR 1545426, DOI 10.1007/BF01474606
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 109-114
- MSC: Primary 28.46
- DOI: https://doi.org/10.1090/S0002-9939-1968-0219695-2
- MathSciNet review: 0219695