Restriction conjectureIn harmonic analysis, the restriction conjecture, also known as the Fourier restriction conjecture, is a conjecture about the behaviour of the Fourier transform on curved hypersurfaces.[1][2] It was first hypothesized by Elias Stein.[3] The conjecture states that two necessary conditions needed to solve a problem known as the restriction problem in that scenario are also sufficient.[2][3] The restriction conjecture is closely related to the Kakeya conjecture, Bochner-Riesz conjecture and the local smoothing conjecture.[4][5] References
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