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Using the Girard--Newton formulae, I give a simple proof of isotropic squarefunction estimates for extension operators along the moment curve in genericlocal fields. Using Bezout's Theorem and the Implicit Function Theorem, I givean alternate, sharper proof for real or complex non-degenerate, polynomialcurves.

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