{ "id": "1509.06309", "version": "v1", "published": "2015-09-21T17:16:54.000Z", "updated": "2015-09-21T17:16:54.000Z", "title": "Estimates for certain integrals of products of six Bessel functions", "authors": [ "Diogo Oliveira e Silva", "Christoph Thiele" ], "comment": "40 pages, 1 figure, 1 table", "categories": [ "math.CA" ], "abstract": "We establish good numerical estimates for a certain class of integrals involving sixfold products of Bessel functions. We use relatively elementary methods. The estimates will be used in the study of a sharp Fourier restriction inequality on the circle.", "revisions": [ { "version": "v1", "updated": "2015-09-21T17:16:54.000Z" } ], "analyses": { "subjects": [ "33C10", "42B10", "65D30" ], "keywords": [ "bessel functions", "sharp fourier restriction inequality", "sixfold products", "relatively elementary methods", "numerical estimates" ], "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150906309S" } } }