The First Variation of an Indefinite Wiener Integral

@inproceedings{Cameron2010TheFV,
  title={The First Variation of an Indefinite Wiener Integral},
  author={Robert Cameron},
  year={2010}
}
The function u(t) need not be a member of C, but can be any Borel measurable function defined on OSj/^1, and may even be permitted to take on infinite values. The Wiener integral of a functional is simply the Lebesgue integral of the functional with respect to Wiener's measure [4]1 in C. This measure is not invariant under translations, but is in other respects a Lebesgue measure based on intervals of the form 

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Additive functional on a space of continuous functions

  • R. H. Cameron, Ross Graves
  • I, Trans. Amer. Math. Soc. vol
  • 1951
1 Excerpt

Transformation of Wiener integrals under translations

  • R. H. Cameron, W. T. Martin
  • Ann. of Math. vol
  • 1944

Notes on random functions

  • N. Wiener, A. Zygmund
  • Math . Zeit .

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