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An Algebraic Approach to the Cameron-Martin-Maruyama-Girsanov Formula

Probability 2011-06-08 v2

Abstract

In this paper, we will give a new perspective to the Cameron-Martin-Maruyama-Girsanov formula by giving a totally algebraic proof to it. It is based on the exponentiation of the Malliavin-type differentiation and its adjointness.

Keywords

Cite

@article{arxiv.1004.4173,
  title  = {An Algebraic Approach to the Cameron-Martin-Maruyama-Girsanov Formula},
  author = {Jiro Akahori and Takafumi Amaba and Sachiyo Uraguchi},
  journal= {arXiv preprint arXiv:1004.4173},
  year   = {2011}
}

Comments

16 pages, this will be soon published in the Mathematical Journal Okayama University