{ "id": "1011.2142", "version": "v1", "published": "2010-11-09T16:37:01.000Z", "updated": "2010-11-09T16:37:01.000Z", "title": "The symmetric property tau for the Gaussian measure", "authors": [ "Joseph Lehec" ], "comment": "10 pages, file might be slightly different from the published version", "journal": "Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 2, 357-370", "categories": [ "math.FA" ], "abstract": "We give a proof based on the Poincar\\'e inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santal\\'o inequality, as explained in a paper by Artstein, Klartag and Milman.", "revisions": [ { "version": "v1", "updated": "2010-11-09T16:37:01.000Z" } ], "analyses": { "subjects": [ "60D05", "28A75", "52A39", "52A40" ], "keywords": [ "symmetric property tau", "gaussian measure", "blaschke-santalo inequality", "functional form", "poincare inequality" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.2142L" } } }