Non Oscillatory Functions and A Fourier Inversion Theorem for Some Functions of Very Moderate Decrease
Classical Analysis and ODEs
2023-01-19 v1 Mathematical Physics
Logic
math.MP
Abstract
We consider non oscillatory functions and prove an everywhere Fourier Inversion Theorem for functions of very moderate decrease. The proofs rely on some ideas in nonstandard analysis.
Cite
@article{arxiv.2301.07106,
title = {Non Oscillatory Functions and A Fourier Inversion Theorem for Some Functions of Very Moderate Decrease},
author = {Tristram de Piro},
journal= {arXiv preprint arXiv:2301.07106},
year = {2023}
}