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Extremizability of Fourier restriction to the paraboloid

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If you have a question about this talk, please contact Diogo Oliveira E Silva.

We will show that for almost all valid Lebesgue space bounds for the restriction operator associated to the paraboloid, there exist nonzero functions whose restrictions have the maximum possible norm. As time permits, we will also discuss related questions for other Fourier restriction/extension operators.

This talk is part of the Analysis seminar series.

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