{ "id": "1505.02004", "version": "v1", "published": "2015-05-08T11:46:10.000Z", "updated": "2015-05-08T11:46:10.000Z", "title": "Real-valued valuations on Sobolev spaces", "authors": [ "Dan Ma" ], "comment": "20 pages", "categories": [ "math.FA" ], "abstract": "Continuous, SL($n$) and translation invariant real-valued valuations on Sobolev spaces are classified.", "revisions": [ { "version": "v1", "updated": "2015-05-08T11:46:10.000Z" } ], "analyses": { "subjects": [ "46B20", "46E35", "52A21", "52B45" ], "keywords": [ "sobolev spaces", "translation invariant real-valued valuations" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }