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arXiv · 1806.06605

Band-limited maximizers for a Fourier extension inequality on the circle

Diogo Oliveira e Silva·Christoph Thiele·Pavel Zorin-Kranich
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Abstract

Among the class of functions with Fourier modes up to degree 30, constant functions are the unique real-valued maximizers for the endpoint Tomas-Stein inequality on the circle.

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Diogo Oliveira e Silva, Christoph Thiele, Pavel Zorin-Kranich. 2018-06-18. Band-limited maximizers for a Fourier extension inequality on the circle. https://doi.org/10.1080/10586458.2019.1596847

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