Uniform estimates for the local restriction of the Fourier transform to curves

Spyridon Dendrinos; Detlef Müller

doi:10.1090/S0002-9947-2012-05769-2

Uniform estimates for the local restriction of the Fourier transform to curves

Spyridon Dendrinos
, Detlef Müller

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

Abstract

We prove sharp estimates, with respect to the affine arclength measure, for the restriction of the Fourier transform to a class of curves in ℝ^d that includes curves of finite type. This measure possesses certain invariance and mitigation properties which are important in establishing uniform results.

Original language	English
Pages (from-to)	3477-3492
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9947-2012-05769-2
Publication status	Published - Jul 2013
Externally published	Yes

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title = "Uniform estimates for the local restriction of the Fourier transform to curves",

abstract = "We prove sharp estimates, with respect to the affine arclength measure, for the restriction of the Fourier transform to a class of curves in ℝd that includes curves of finite type. This measure possesses certain invariance and mitigation properties which are important in establishing uniform results.",

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Uniform estimates for the local restriction of the Fourier transform to curves

Abstract

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