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Notes on the Wiener semigroup and renormalization

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1485)

Abstract

In this paper, by using white noise analysis (e.g. Wick product, scaling trasformation) we obtain some results about the ∞-dim. Wiener semigroup. A precise definition of renormalization in white noise analysis is also proposed. The main results are Theorems 2.2, 2.4, 2.5, and 3.2.

AMS Subject Classification

  • 60H99

Work supported by the National Natural Science Foundation of China

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References

  1. I. Kubo and Y. Yokoi: A Remark on the testing random variables in the white noise calculus, Nagoya Math. J. Vol 115 (1989), 139–149.

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© 1991 Springer-Verlag

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Yan, J.A. (1991). Notes on the Wiener semigroup and renormalization. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXV. Lecture Notes in Mathematics, vol 1485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100848

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  • DOI: https://doi.org/10.1007/BFb0100848

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54616-0

  • Online ISBN: 978-3-540-38496-0

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