Gross’ abstract Wiener measure on $C [0,\infty ).$
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- by H. C. Finlayson PDF
- Proc. Amer. Math. Soc. 57 (1976), 297-298 Request permission
Abstract:
Classical Wiener measure on $C[0,\infty )$ is obtained by the construction of Gross’ abstract Wiener measure on a suitable Banach subspace of $C[0,\infty )$.References
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Z. Ciesielski, Lectures on Brownian motion, heat conduction and potential theory, Math. Inst., Aarhus University, 1966.
- H. C. Finlayson, Measurability of norm proved by Haar functions, Proc. Amer. Math. Soc. 53 (1975), no. 2, 334–336. MR 385059, DOI 10.1090/S0002-9939-1975-0385059-8
- Henry C. Finlayson, Two classical examples of Gross’ abstract Wiener measure, Proc. Amer. Math. Soc. 53 (1975), no. 2, 337–340. MR 385060, DOI 10.1090/S0002-9939-1975-0385060-4
- I. I. Gikhman and A. V. Skorokhod, Introduction to the theory of random processes, W. B. Saunders Co., Philadelphia, Pa.-London-Toronto, Ont., 1969. Translated from the Russian by Scripta Technica, Inc. MR 0247660
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 297-298
- MSC: Primary 28A40
- DOI: https://doi.org/10.1090/S0002-9939-1976-0409756-1
- MathSciNet review: 0409756