A variational restriction theorem

Diogo Oliveira e Silva; Vjekoslav Kova\v{c}

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A variational restriction theorem

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arxiv 1809.09611 v3 pith:RUPKXFYN submitted 2018-09-25 math.CA

Vjekoslav Kovač , Diogo Oliveira e Silva This is my paper · ORCID

classification math.CA

keywords fourierrestrictionvariationalestablishestimateseuclideanfieldfunction

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We establish variational estimates related to the problem of restricting the Fourier transform of a three-dimensional function to the two-dimensional Euclidean sphere. At the same time, we give a short survey of the recent field of maximal Fourier restriction theory.

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