{ "id": "1211.5955", "version": "v1", "published": "2012-11-26T13:55:11.000Z", "updated": "2012-11-26T13:55:11.000Z", "title": "On harmonic function for the killed process upon hitting zero of asymmetric Lévy processes", "authors": [ "Kouji Yano" ], "categories": [ "math.PR" ], "abstract": "For a certain class of asymmetric L\\'evy processes where the origin is regular for itself, the renormalized zero resolvent is proved to be harmonic for the killed process upon hitting zero.", "revisions": [ { "version": "v1", "updated": "2012-11-26T13:55:11.000Z" } ], "analyses": { "keywords": [ "asymmetric lévy processes", "killed process", "hitting zero", "harmonic function", "asymmetric levy processes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.5955Y" } } }