{ "id": "2308.11947", "version": "v1", "published": "2023-08-23T06:41:55.000Z", "updated": "2023-08-23T06:41:55.000Z", "title": "On the Local Regularity of the Hilbert Transform", "authors": [ "Yifei Pan", "Jianfei Wang", "Yu Yan" ], "categories": [ "math.CA", "math.CV" ], "abstract": "In this paper the local regularity of the Hilbert transform is considered, and local smoothness and real analyticity results are obtained.", "revisions": [ { "version": "v1", "updated": "2023-08-23T06:41:55.000Z" } ], "analyses": { "keywords": [ "hilbert transform", "local regularity", "real analyticity results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }