{ "id": "0903.2269", "version": "v1", "published": "2009-03-12T20:43:09.000Z", "updated": "2009-03-12T20:43:09.000Z", "title": "Heat kernel of fractional Laplacian in cones", "authors": [ "Krzysztof Bogdan", "Tomasz Grzywny" ], "comment": "14 pages", "categories": [ "math.PR" ], "abstract": "We give sharp estimates for the transition density of the isotropic stable L\\'evy process killed when leaving a right circular cone.", "revisions": [ { "version": "v1", "updated": "2009-03-12T20:43:09.000Z" } ], "analyses": { "subjects": [ "60J35", "60J50", "60J75", "31B25" ], "keywords": [ "fractional laplacian", "heat kernel", "right circular cone", "sharp estimates", "transition density" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.2269B" } } }