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Inequalities for Products of White Noise Functionals

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Abstract

Some sharp inequalities for the Wiener and Wick products of white noise functionals in the new settings of white noise analysis are established.

Research supported by the National Science Foundation of China. AMS Subject classification: 60H99, 46F10, 46F25.

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References

  1. Kondratiev, Ju.G., Streit, L.: Spaces of White Noise Distributions: Constructions, Discriptions, Applications, I. Preprint (1991).

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  2. Meyer, P.A., Yan, J.A.: Les “fonctions caractéristiques” des distributions sur l’espace de Wiener, Sém.Prob. XXV, LN in Math. 1485 (1991), 61–78.

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  3. Potthoff, J., Yan, J.A.: Some results about test and generalized functionals of white noise, BiBoS preprint (1989), to appear in: Proc. Singapore Probab. Conf. (1989), L.H.Y. Chen (ed.).

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  4. Yan, J.A.: Products and transforms of white noise function als, Preprint (1990).

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© 1993 Springer-Verlag New York, Inc.

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Yan, J.A. (1993). Inequalities for Products of White Noise Functionals. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_40

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  • DOI: https://doi.org/10.1007/978-1-4615-7909-0_40

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7911-3

  • Online ISBN: 978-1-4615-7909-0

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