{ "id": "0909.2544", "version": "v1", "published": "2009-09-14T13:15:53.000Z", "updated": "2009-09-14T13:15:53.000Z", "title": "Integration in superspace using distribution theory", "authors": [ "K. Coulembier", "H. De Bie", "F. Sommen" ], "journal": "J. Phys. A: Math. Theor. 42 (2009) 395206.", "categories": [ "math-ph", "math.MP" ], "abstract": "In this paper, a new class of Cauchy integral formulae in superspace is obtained, using formal expansions of distributions. This allows to solve five open problems in the study of harmonic and Clifford analysis in superspace.", "revisions": [ { "version": "v1", "updated": "2009-09-14T13:15:53.000Z" } ], "analyses": { "subjects": [ "58C50", "30G35", "26B20" ], "keywords": [ "distribution theory", "superspace", "integration", "cauchy integral formulae", "formal expansions" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1751-8113/42/39/395206", "journal": "Journal of Physics A Mathematical General", "year": 2009, "month": "Oct", "volume": 42, "number": 39, "pages": 395206 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 831173, "adsabs": "2009JPhA...42M5206C" } } }