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arXiv · 2208.07920

Reinforcing a Philosophy: Littlewood--Paley theory for the moment curve over generic local fields

Kevin Hughes
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Abstract

Using the Girard--Newton formulae, I give a simple proof of isotropic square function estimates for extension operators along the moment curve in generic local fields. Using Bezout's Theorem and the Implicit Function Theorem, I give an alternate, sharper proof for real or complex non-degenerate, polynomial curves.

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BibTeXRIS

Kevin Hughes. 2022-08-16. Reinforcing a Philosophy: Littlewood--Paley theory for the moment curve over generic local fields. https://arxiv.org/abs/2208.07920

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