Sampling theorems on locally compact groups from oscillation estimates
泛函分析
2007-05-23 v1 表示论
摘要
We present a general approach to derive sampling theorems on locally compact groups from oscillation estimates. We focus on the -stability of the sampling operator by using notions from frame theory. This approach yields particularly simple and transparent reconstruction procedures. We then apply these methods to the discretization of discrete series representations and to Paley-Wiener spaces on stratified Lie groups.
引用
@article{arxiv.math/0509178,
title = {Sampling theorems on locally compact groups from oscillation estimates},
author = {Hartmut Fuehr and Karlheinz Groechenig},
journal= {arXiv preprint arXiv:math/0509178},
year = {2007}
}
备注
18 pages