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Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency

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Randomized trial shows a uniform Fourier restriction estimate for simple curves, indicating significant analytical advancements.

The aim is to establish a uniform Fourier restriction estimate for simple curves with bounded frequency.
Proven a uniform Fourier restriction estimate over simple curves.
Extended the last coordinate function to a holomorphic function of bounded frequency.
Utilized a decomposition scheme for the analysis.
Provided a uniform estimate applicable to the defined class of simple curves.
Demonstrated the effectiveness of the extension to holomorphic functions.

Pont et al. (2026) studied this question.

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