0000000000433877

AUTHOR

Spyridon Dendrinos

showing 2 related works from this author

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

2013

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

Pure mathematicsClass (set theory)Applied MathematicsGeneral Mathematics010102 general mathematicsType (model theory)01 natural sciencesMeasure (mathematics)symbols.namesakeFourier transform0103 physical sciences111 MathematicssymbolsCalculus010307 mathematical physicsAffine transformation0101 mathematicsMathematicsTransactions of the American Mathematical Society
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Uniform estimates for the X-ray transform restricted to polynomial curves

2012

We establish near-optimal mixed-norm estimates for the X-ray transform restricted to polynomial curves with a weight that is a power of the affine arclength. The bounds that we establish depend only on the spatial dimension and the degree of the polynomial. Some of our results are new even in the well-curved case.

Polynomial curvesPolynomialX-ray transformMixed normDegree (graph theory)Mathematical analysisMixed normPower (physics)Affine arclengthDimension (vector space)Mathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsRestricted X-rayAffine transformation42B25Generalized Radon transformAnalysisMathematicsJournal of Functional Analysis
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