An abstract L2 Fourier restriction theorem

Jonathan Hickman; James Wright

doi:10.4310/MRL.2019.v26.n1.a6

An abstract L2 Fourier restriction theorem

Jonathan Hickman, James Wright

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

An L2 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 varieties lying in modules over local fields or rings of integers Z/NZ.

Original language	English
Pages (from-to)	75-100
Number of pages	11
Journal	Mathematical research letters
Volume	26
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2019.v26.n1.a6
Publication status	Published - 7 Jun 2019

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10.4310/MRL.2019.v26.n1.a6

1801.03180Accepted author manuscript, 229 KB

https://arxiv.org/abs/1801.03180

James Wright
- School of Mathematics - Chair in Mathematical Analysis
Person: Academic: Research Active

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abstract = "An L2 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 varieties lying in modules over local fields or rings of integers Z/NZ.",

author = "Jonathan Hickman and James Wright",

year = "2019",

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DO - 10.4310/MRL.2019.v26.n1.a6

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An abstract L2 Fourier restriction theorem

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James Wright

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