Search results for "Affine arclength"

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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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