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<p>In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounded frequency in a sufficiently large disc. The proof is based on a decomposition scheme for this class of functions.</p>

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Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月11日

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  • Jaume de Dios Pont,
  • Helge J. Samuelsen

摘要

In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounded frequency in a sufficiently large disc. The proof is based on a decomposition scheme for this class of functions.