{ "id": "math/0506517", "version": "v2", "published": "2005-06-24T21:31:40.000Z", "updated": "2005-09-11T07:24:28.000Z", "title": "Self-adjointness of Cauchy singular integral operator", "authors": [ "Alexey Tikhonov" ], "comment": "5 pages ; added references; result extended to the case of finitely connected domains", "categories": [ "math.FA", "math.CV" ], "abstract": "We extend Krupnik's criterion of self-adjointness of the Cauchy singular integral operator to the case of finitely connected domains. The main aim of the paper is to present a new approach for proof of the criterion.", "revisions": [ { "version": "v2", "updated": "2005-09-11T07:24:28.000Z" } ], "analyses": { "subjects": [ "47G10", "46E20", "47B38", "45P05", "47A45" ], "keywords": [ "cauchy singular integral operator", "self-adjointness", "extend krupniks criterion", "main aim", "finitely connected domains" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......6517T" } } }