{ "id": "0709.2452", "version": "v2", "published": "2007-09-16T00:03:13.000Z", "updated": "2009-09-07T10:08:38.000Z", "title": "Besov Spaces and Frames on Compact Manifolds", "authors": [ "Daryl Geller", "Azita Mayeli" ], "comment": "27 pages. This paper is a continuation of our article ``Nearly Tight Frames and Space-Frequency Analysis on Compact Manifolds''. Keywords and phrases: Wavelets, Frames, Spectral Theory, Besov Spaces, Manifolds, Pseudodifferential Operators", "categories": [ "math.FA" ], "abstract": "We show that one can characterize the Besov spaces on a smooth compact oriented Riemannian manifold, for the full range of indices, through a knowledge of the size of frame coefficients, using the frames we have constructed in [8].", "revisions": [ { "version": "v2", "updated": "2009-09-07T10:08:38.000Z" } ], "analyses": { "keywords": [ "besov spaces", "compact manifolds", "smooth compact oriented riemannian manifold", "full range", "frame coefficients" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.2452G" } } }