{ "id": "1312.4583", "version": "v2", "published": "2013-12-16T22:38:43.000Z", "updated": "2014-01-10T20:37:15.000Z", "title": "Uncertainty and Analyticity", "authors": [ "Vladimir V. Kisil" ], "comment": "AMS-LaTeX, 7 p., no figures; v2: misprints are corrected", "categories": [ "math-ph", "math.MP", "quant-ph" ], "abstract": "We describe a connection between minimal uncertainty states and holomorphy-type conditions on the images of the respective wavelet transform. The most familiar example is the Fock-Segal-Bargmann transform generated by the Gaussian, however, this also occurs under more general assumptions.", "revisions": [ { "version": "v2", "updated": "2014-01-10T20:37:15.000Z" } ], "analyses": { "subjects": [ "81P05", "22E27" ], "keywords": [ "analyticity", "minimal uncertainty states", "holomorphy-type conditions", "respective wavelet transform", "familiar example" ], "note": { "typesetting": "LaTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.4583K" } } }