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Gross' abstract Wiener measure on $ C [0,\infty).$


Author: H. C. Finlayson
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
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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 [Enhancements On Off] (What's this?)

  • [1] Z. Ciesielski, Lectures on Brownian motion, heat conduction and potential theory, Math. Inst., Aarhus University, 1966.
  • [2] H. C. Finlayson, Measurability of norm proved by Haar functions, Proc. Amer. Math. Soc. 53 (1975), 334-336. MR 0385059 (52:5929)
  • [3] -, Two classical examples of Gross' abstract Wiener measure, Proc. Amer. Math. Soc. 53 (1975), 337-340. MR 0385060 (52:5930)
  • [4] I. I. Gihman and A. V. Skorohod Introduction to the theory of random processes, ``Nauka", Moscow, 1965; English transl., Saunders, Philadelphia, Pa., 1969.MR 33 #6689; 40 #923. MR 0247660 (40:923)

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DOI: https://doi.org/10.1090/S0002-9939-1976-0409756-1
Article copyright: © Copyright 1976 American Mathematical Society

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