Title: Besov spaces and frames on compact manifolds

Authors: Daryl Geller and Azita Mayeli

Issue: Volume 58 (2009), Issue 5, 2003-2042

Abstract: 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].