{ "id": "1706.09792", "version": "v1", "published": "2017-06-29T15:05:29.000Z", "updated": "2017-06-29T15:05:29.000Z", "title": "A sampling theorem for functions in Besov spaces on spaces of homogeneous type", "authors": [ "Philippe Jaming", "Felipe Negreira" ], "categories": [ "math.CA", "math.CV", "math.FA" ], "abstract": "In this work we establish a sampling theorem for functions in Besov spaces on spaces of homogeneous type as defined in [HY] in the spirit of their recent counterpart for R d established by Jaming-Malinnikova in [JM]. The main tool is the wavelet decomposition presented by Deng-Han in [DH].", "revisions": [ { "version": "v1", "updated": "2017-06-29T15:05:29.000Z" } ], "analyses": { "keywords": [ "besov spaces", "homogeneous type", "sampling theorem", "main tool", "wavelet decomposition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }