{ "id": "1710.07682", "version": "v1", "published": "2017-10-20T19:25:56.000Z", "updated": "2017-10-20T19:25:56.000Z", "title": "Uniform estimates for Fourier restriction to polynomial curves in $\\mathbb R^d$", "authors": [ "Betsy Stovall" ], "comment": "This is a preprint version of a published article. The final version is in Amer. J. Math. 138 (2016), no. 2, 449--471", "journal": "Amer. J. Math. 138 (2016), no. 2, 449--471", "categories": [ "math.CA" ], "abstract": "We prove uniform $L^p \\to L^q$ bounds for Fourier restriction to polynomial curves in $\\mathbb R^d$ with affine arclength measure, in the conjectured range.", "revisions": [ { "version": "v1", "updated": "2017-10-20T19:25:56.000Z" } ], "analyses": { "keywords": [ "polynomial curves", "fourier restriction", "uniform estimates", "affine arclength measure" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }