Additive functionals on $C(Y)$
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- by J. Kuelbs PDF
- Proc. Amer. Math. Soc. 19 (1968), 354-360 Request permission
References
- 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
- Ross E. Graves, Additive functionals on a space of continuous functions. II, Ann. of Math. (2) 54 (1951), 275–285. MR 43381, DOI 10.2307/1969528
- J. D. Kuelbs, A Cameron-Martin translation theorem for a Gaussian measure on $C(Y)$, Proc. Amer. Math. Soc. 19 (1968), 109–114. MR 219695, DOI 10.1090/S0002-9939-1968-0219695-2
- R. H. Cameron and W. T. Martin, The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals, Ann. of Math. (2) 48 (1947), 385–392. MR 20230, DOI 10.2307/1969178
- Edward James McShane, Integration, Princeton University Press, Princeton, N. J., 1944 1957. MR 0082536
- 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
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 354-360
- MSC: Primary 46.25; Secondary 28.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0222624-9
- MathSciNet review: 0222624