6533b81ffe1ef96bd12770ac
RESEARCH PRODUCT
Uniform estimates for the local restriction of the Fourier transform to curves
Spyridon DendrinosSpyridon DendrinosDetlef Müllersubject
Pure mathematicsClass (set theory)Applied MathematicsGeneral Mathematics010102 general mathematicsType (model theory)01 natural sciencesMeasure (mathematics)symbols.namesakeFourier transform0103 physical sciences111 MathematicssymbolsCalculus010307 mathematical physicsAffine transformation0101 mathematicsMathematicsdescription
We prove sharp estimates, with respect to the ane arclength measure, for the restriction of the Fourier transform to a class of curves in R^d that includes curves of nite type. This measure possesses certain invariance and mitigation properties which are important in establishing uniform results. Peer reviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-07-01 | Transactions of the American Mathematical Society |