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On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum

Published 23 Oct 2025 in math.CA | (2510.20934v1)

Abstract: We prove a sharp Fourier extension inequality on the circle for the Tomas-Stein exponent for functions whose spectrum ${\pm \lambda_n}$ satisfies $\lambda_{n+1}>3 \lambda_{n}$.

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