Besov spaces and frames on compact manifolds Daryl GellerAzita Mayeli 42C1542C4041A2558J40waveletsframesspectral theoryBesov spacesmanifoldspseudodifferential operators We show that one can characterize the Besov spaces on a smooth compact Riemannian manifold, for the full range of indices, through a knowledge of the size of frame coefficients, using the smooth, nearly tight frames we have constructed in [D. Geller and A. Mayel, \emph{Nearly tight frames and space-frequency analysis on compact manifolds}, Math.Z. \textbf{263} (2009), 235--264]. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3741 10.1512/iumj.2009.58.3741 en Indiana Univ. Math. J. 58 (2009) 2003 - 2042 state-of-the-art mathematics http://iumj.org/access/