On the translation invariant operators in $\ell^p(\mathbb{Z}^d)$
Classical Analysis and ODEs
2019-01-11 v1
Abstract
In this paper we study boundedness of translation invariant operators in the discrete space . In this context a Mikhlin type multiplier theorem is given, yielding boundedness for certain known operators . We also give boundedness of a discrete wave equation.
Keywords
Cite
@article{arxiv.1901.02924,
title = {On the translation invariant operators in $\ell^p(\mathbb{Z}^d)$},
author = {Bechir Amri and Khawla Kerfaf},
journal= {arXiv preprint arXiv:1901.02924},
year = {2019}
}