On Fourier multipliers with rapidly oscillating symbols
Classical Analysis and ODEs
2022-04-19 v2
Abstract
We provide asymptotically sharp bounds for the norms of the Fourier multipliers with the symbols , where is a large parameter.
Keywords
Cite
@article{arxiv.2203.04881,
title = {On Fourier multipliers with rapidly oscillating symbols},
author = {Dmitriy Stolyarov},
journal= {arXiv preprint arXiv:2203.04881},
year = {2022}
}
Comments
10 pages; second version contains the proofs of lower bounds for arbitrary d, some typos are also corrected