activity
20152023
most citedA non-archimedean variant of Littlewood--Paley theory for curves

2 citations · 6 across the 9 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.AP2018

Sharp local smoothing estimates for Fourier integral operators

David Beltran, Jonathan Hickman, Christopher D. Sogge

The theory of Fourier integral operators is surveyed, with an emphasis on local smoothing estimates and their applications. After reviewing the classical background, we describe so…

math.CA2018

Improved Fourier restriction estimates in higher dimensions

Jonathan Hickman, Keith M. Rogers

We consider Guth's approach to the Fourier restriction problem via polynomial partitioning. By writing out his induction argument as a recursive algorithm and introducing new geome…

math.CA2018

An abstract Fourier restriction theorem

Jonathan Hickman, James Wright

An Fourier restriction argument of Bak and Seeger is abstracted to the setting of locally compact abelian groups. This is used to prove new restriction estimates for varietie…