{ "id": "1803.05492", "version": "v1", "published": "2018-03-14T19:49:13.000Z", "updated": "2018-03-14T19:49:13.000Z", "title": "A representing system generated by the Szegö kernel for the Hardy space", "authors": [ "Konstantin S. Speransky", "Pavel A. Terekhin" ], "categories": [ "math.FA" ], "abstract": "In this paper we give an explicit construction of a representing system generated by the Szeg\\\"{o} kernel for the Hardy space. Thus we answer an open question posed by Fricain, Khoi and Lef\\`evre. We use frame theory to prove the main result.", "revisions": [ { "version": "v1", "updated": "2018-03-14T19:49:13.000Z" } ], "analyses": { "keywords": [ "hardy space", "representing system", "explicit construction", "open question", "frame theory" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }