{ "id": "2008.01997", "version": "v1", "published": "2020-08-05T08:38:38.000Z", "updated": "2020-08-05T08:38:38.000Z", "title": "A new proof of Benedicks' Theorem for the Weyl Transform", "authors": [ "M. K. Vemuri" ], "categories": [ "math.FA", "math.RT" ], "abstract": "Benedicks theorem for the Weyl Transform states: If the set of points where a function is nonzero is of finite measure, and its Weyl transform is a finite rank operator, then the function is identically zero. A new, more transparent proof of this theorem is given.", "revisions": [ { "version": "v1", "updated": "2020-08-05T08:38:38.000Z" } ], "analyses": { "subjects": [ "42B10", "22E30", "22D10", "22D25" ], "keywords": [ "weyl transform states", "finite rank operator", "benedicks theorem", "transparent proof", "finite measure" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }