arXiv:0709.2452 Abstract | arXiv Analytics

arXiv:0709.2452 [math.FA]Abstract References Reviews Resources

Besov Spaces and Frames on Compact Manifolds

Published 2007-09-16, updated 2009-09-07Version 2

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].

Comments: 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

Keywords: besov spaces, compact manifolds, smooth compact oriented riemannian manifold, full range, frame coefficients

Related articles: Most relevant | Search more

arXiv:1502.03159 [math.FA] (Published 2015-02-11)

Approximations in $L_{p}$-norms and Besov spaces on compact manifolds

Isaac Z. Pesenson

arXiv:1603.01334 [math.FA] (Published 2016-03-04)

Besov spaces on open sets

Tsukasa Iwabuchi, Tokio Matsuyama, Koichi Taniguchi

arXiv:0910.3867 [math.FA] (Published 2009-10-20)

Greedy bases for Besov spaces

S. J. Dilworth, D. Freeman, E. Odell, Th. Schlumprecht