Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency
Classical Analysis and ODEs
2023-03-31 v2 Complex Variables
Abstract
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.
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Cite
@article{arxiv.2303.11693,
title = {Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency},
author = {Jaume de Dios Pont and Helge Jørgen Samuelsen},
journal= {arXiv preprint arXiv:2303.11693},
year = {2023}
}
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22 pages