{ "id": "math/0511512", "version": "v1", "published": "2005-11-21T09:11:51.000Z", "updated": "2005-11-21T09:11:51.000Z", "title": "Stochastic Integral with respect to Cylindrical Wiener Process", "authors": [ "Anna Karczewska" ], "comment": "15 pages", "journal": "Annales Universitatis Marie Curie-Sklodowska, Sectio A, Mathematica LII 2, 9 (1998) 79-93", "categories": [ "math.PR", "math.FA" ], "abstract": "This paper is devoted to a construction of the stochastic It\\^o integral with respect to infinite dimensional cylindrical Wiener process. The construction given is an alternative one to that introduced by DaPrato and Zabczyk [3]. The connection of the introduced integral with the integral defined by Walsh [9] is provided as well.", "revisions": [ { "version": "v1", "updated": "2005-11-21T09:11:51.000Z" } ], "analyses": { "subjects": [ "60H05", "60H30" ], "keywords": [ "stochastic integral", "infinite dimensional cylindrical wiener process", "construction", "connection" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....11512K" } } }