English

A sampling theorem for functions in Besov spaces on spaces of homogeneous type

Classical Analysis and ODEs 2017-06-30 v1 Complex Variables Functional Analysis

Abstract

In this work we establish a sampling theorem for functions in Besov spaces on spaces of homogeneous type as defined in [HY] in the spirit of their recent counterpart for R d established by Jaming-Malinnikova in [JM]. The main tool is the wavelet decomposition presented by Deng-Han in [DH].

Keywords

Cite

@article{arxiv.1706.09792,
  title  = {A sampling theorem for functions in Besov spaces on spaces of homogeneous type},
  author = {Philippe Jaming and Felipe Negreira},
  journal= {arXiv preprint arXiv:1706.09792},
  year   = {2017}
}