{ "id": "math/0607059", "version": "v2", "published": "2006-07-03T16:25:44.000Z", "updated": "2006-07-13T21:12:36.000Z", "title": "Average decay estimates for Fourier transforms of measures supported on curves", "authors": [ "Luca Brandolini", "Giacomo Gigante", "Allan Greenleaf", "Alexander Iosevich", "Andreas Seeger", "Giancarlo Travaglini" ], "comment": "We have learned about an important reference on the subject matter, and revised the paper accordingly", "journal": "Journal of Geometric Analysis, 17, no 1 (2007), 15--40. pdf.", "categories": [ "math.CA" ], "abstract": "We consider Fourier transforms of densities supported on curves in R^d. We obtain sharp lower and close to sharp upper bounds for the L^q decay rates.", "revisions": [ { "version": "v2", "updated": "2006-07-13T21:12:36.000Z" } ], "analyses": { "subjects": [ "42B10", "42B99" ], "keywords": [ "average decay estimates", "fourier transforms", "sharp upper bounds", "sharp lower" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......7059B" } } }