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Fubini’s Theorem for Plane Stochastic Integrals

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Stochastic Analysis and Related Topics VI

Part of the book series: Progress in Probability ((PRPR,volume 42))

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Abstract

Plane stochastic integrals began to develop twenty years ago with a paper of Cairoly and Walsh [2]. Despite the enormous progress in Stochastic Analysis as a whole, most properties of plane integrals, which are not straightforward generalizations of the 1-index case, remain poorly understood.

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References

  1. Billingsley P., Probability and Measure, J. Wiley & Sons, 1979.

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  2. Cairoly R. and Walsh J. B., Stochastic integrals in the plane, Acta Math. (1974) 111–183.

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  3. Doléans-Dade C., Existence du processus croissant naturel associe à un potentiel de class (D), Z. Wahr. 9 (1968), 309–314.

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  4. Chung K. L. and Williams R. J., Introduction to Stochastic Integrals, Birkhäuser, 1990.

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  5. Kwapień S. and Woyczyński W. A., Random Series and Stochastic Integrals: Single and Multiple, Birkhäuser, 1992.

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© 1998 Springer Science+Business Media New York

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Salazar, J. (1998). Fubini’s Theorem for Plane Stochastic Integrals. In: Decreusefond, L., Øksendal, B., Gjerde, J., Üstünel, A.S. (eds) Stochastic Analysis and Related Topics VI. Progress in Probability, vol 42. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2022-0_18

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  • DOI: https://doi.org/10.1007/978-1-4612-2022-0_18

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7385-1

  • Online ISBN: 978-1-4612-2022-0

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