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The hausdorff dimension of a class of lacunary trigonomitric series

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Part of the Lecture Notes in Mathematics book series (2803,volume 1494)

Abstract

Let f(x) = Σn≥1 a n cos(λnx) be a lacunary trigonomitric series with Σn≥1 |a n | < ∞. On some conditions of the coefficients a n and the frequencies λ n , we shall determine the Hausdorff dimension of its graph.

Supported partially by the Chinese National Science's Fund.

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References

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© 1991 Springer-Verlag

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Sun, Dc., Wen, Zy. (1991). The hausdorff dimension of a class of lacunary trigonomitric series. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087769

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  • DOI: https://doi.org/10.1007/BFb0087769

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54901-7

  • Online ISBN: 978-3-540-46474-7

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