Deconvolution of band limited functions on non-compact symmetric spaces
Functional Analysis
2011-08-30 v1
Abstract
It is shown that a band limited function on a non-compact symmetric space can be reconstructed in a stable way from some countable sets of values of its convolution with certain distributions of compact support. A reconstruction method in terms of frames is given which is a generalization of the classical result of Duffin-Schaeffer about exponential frames on intervals. The second reconstruction method is given in terms of polyharmonic average splines.
Keywords
Cite
@article{arxiv.1108.5634,
title = {Deconvolution of band limited functions on non-compact symmetric spaces},
author = {Isaac Pesenson},
journal= {arXiv preprint arXiv:1108.5634},
year = {2011}
}