{ "id": "1809.08665", "version": "v1", "published": "2018-09-23T19:34:43.000Z", "updated": "2018-09-23T19:34:43.000Z", "title": "Structural theorems for quasiasymptotics of ultradistributions", "authors": [ "Lenny Neyt", "Jasson Vindas" ], "comment": "25 pages", "categories": [ "math.FA", "math.CA" ], "abstract": "We provide complete structural theorems for the so-called quasiasymptotic behavior of ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand-Shilov spaces.", "revisions": [ { "version": "v1", "updated": "2018-09-23T19:34:43.000Z" } ], "analyses": { "subjects": [ "41A60", "46F05", "46F10" ], "keywords": [ "ultradistributions", "complete structural theorems", "quasiasymptotic behavior", "quasiasymptotic properties", "gelfand-shilov spaces" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }