A variational restriction theorem

Vjekoslav Kovač; Diogo Oliveira E Silva

doi:10.1007/s00013-021-01604-1

A variational restriction theorem

Vjekoslav Kovač, Diogo Oliveira E Silva

Mathematics

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Abstract

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.

Original language	English
Pages (from-to)	65-78
Journal	Archiv der Mathematik
Volume	117
Issue number	1
Early online date	7 May 2021
DOIs	https://doi.org/10.1007/s00013-021-01604-1
Publication status	Published - 1 Jul 2021

Keywords

Fourier restriction
Gaussian domination
Variational estimates

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00013-021-01604-1Licence: Creative Commons: Attribution (CC BY)

Kovač-OliveiraESilva2021_Article_AVariationalRestrictionTheoremFinal published version, 358 KBLicence: Creative Commons: Attribution (CC BY)

https://link.springer.com/10.1007/s00013-021-01604-1

Sharp Fourier Restriction Theory
Oliveira E Silva, D.
Engineering & Physical Science Research Council
1/02/20 → 31/01/22
Project: Research Councils

Cite this

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KW - Variational estimates

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A variational restriction theorem

Abstract

Keywords

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Sharp Fourier Restriction Theory

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