Optimal extension of the Fourier transform and convolution operator on compact groups
Functional Analysis
2019-06-26 v1
Abstract
Let be a compact group (not necessarily abelian) and let be a Young function satisfying the -condition. We determine the optimal domain and the associated extended operator for both Fourier transform and the convolution operator defined on the Orlicz spaces
Cite
@article{arxiv.1906.10349,
title = {Optimal extension of the Fourier transform and convolution operator on compact groups},
author = {Manoj Kumar and N. Shravan Kumar},
journal= {arXiv preprint arXiv:1906.10349},
year = {2019}
}