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Transformations of index set for Skorokhod integral with respect to Gaussian processes

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  • Leszek Gawarecki

Abstract

We consider a Gaussian process { X t , t ∈ T } with an arbitrary index set T and study consequences of transformations of the index set on the Skorokhod integral and Skorokhod derivative with respect to X . The results applied to Skorokhod SDEs of diffusion type provide uniqueness of the solution for the time-reversed equation and, to Ogawa line integral, give an analogue of the fundamental theorem of calculus.

Suggested Citation

  • Leszek Gawarecki, 1999. "Transformations of index set for Skorokhod integral with respect to Gaussian processes," International Journal of Stochastic Analysis, Hindawi, vol. 12, pages 1-7, January.
  • Handle: RePEc:hin:jnijsa:783905
    DOI: 10.1155/S1048953399000118
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