paper

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

arXiv:1706.09792

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].