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This article is available for purchase or by subscription. See below.
Abstract
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This result sharpens the bilinear-to-linear deduction of Lee and
Vargas for extension estimates on the hyperbolic paraboloid in
to the
sharp line, leading to the first scale-invariant restriction estimates, beyond the
Stein–Tomas range, for a hypersurface on which the principal curvatures have
different signs.
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Keywords
Fourier restriction, bilinear restriction, hyperbolic
restriction
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Mathematical Subject Classification 2010
Primary: 42B20
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Milestones
Received: 8 September 2017
Revised: 6 August 2018
Accepted: 17 September 2018
Published: 15 December 2018
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