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Approximation of the Rosenblatt Sheet

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Abstract

In this paper, we obtain an approximation theorem for the Rosenblatt sheet, using martingale differences. The proof involves the tightness and identification of finite dimensional distributions.

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Authors and Affiliations

  1. Department of Mathematics, Anhui Normal University, Wuhu, 241000, China

    Guangjun Shen & Xiuwei Yin

  2. Department of Mathematics, Donghua University, Shanghai, 201620, China

    Litan Yan

Authors
  1. Guangjun Shen
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  2. Xiuwei Yin
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  3. Litan Yan
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Corresponding author

Correspondence to Guangjun Shen.

Additional information

This work was supported by the National Natural Science Foundation of China (11271020, 11171062).

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Shen, G., Yin, X. & Yan, L. Approximation of the Rosenblatt Sheet. Mediterr. J. Math. 13, 2215–2227 (2016). https://doi.org/10.1007/s00009-015-0576-5

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  • DOI: https://doi.org/10.1007/s00009-015-0576-5

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