Besov Spaces and Frames on Compact Manifolds

Daryl Geller; Azita Mayeli

Besov Spaces and Frames on Compact Manifolds

Functional Analysis 2009-09-07 v2

Authors: Daryl Geller , Azita Mayeli

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].

Keywords

function spaces riemannian geometry topological spaces

Cite

@article{arxiv.0709.2452,
  title  = {Besov Spaces and Frames on Compact Manifolds},
  author = {Daryl Geller and Azita Mayeli},
  journal= {arXiv preprint arXiv:0709.2452},
  year   = {2009}
}

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

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