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Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II

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posted on 24.11.2022, 18:00 authored by James Barker, Christoph Thiele, Pavel Zorin-Kranich

Among the class of functions on the circle with Fourier modes up to degree 120, constant functions are the unique real-valued maximizers for the endpoint Tomas-Stein inequality.

Funding

The authors acknowledge support by the Deutsche Forschungsgemeinschaft through the Hausdorff Center for Mathematics (DFG Projektnummer 390685813) and the Collaborative Research Center 1060 (DFG Projektnummer 211504053).

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