Besov Spaces and Frames on Compact Manifolds

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 [8].

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Bibliographic Details
Published in:Indiana University mathematics journal 2009-01, Vol.58 (5), p.2003-2042
Main Authors: Geller, Daryl, Mayeli, Azita
Format: Article
Language:English
Subjects:
Cubes
Differential operators
Dyadics
Eigenfunctions
Exact sciences and technology
General mathematics
General, history and biography
Integers
Mathematical functions
Mathematical theorems
Mathematics
Riemann manifold
Sciences and techniques of general use
Series convergence
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Description
Summary: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 [8].
ISSN:0022-2518
1943-5258
DOI:10.1512/iumj.2009.58.3741