Fourier transform acting on the functions defined in the infinite LCA groups. A Grand Lebesgue Spaces approach
Functional Analysis
2017-10-10 v1
Abstract
We derive in this article the exact norm in the Grand Lebesgue Spaces (GLS) estimates for Fourier transform acting on the functions defined in the infinite local compact Abelian (LCA) group, compact or discrete.
Keywords
Cite
@article{arxiv.1710.02826,
title = {Fourier transform acting on the functions defined in the infinite LCA groups. A Grand Lebesgue Spaces approach},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1710.02826},
year = {2017}
}