Inversion problem in algebras of integrable functions with summable Fourier transforms
Functional Analysis
2026-01-23 v1
Abstract
In this paper, we study the norm-controlled inversion problem in two classes of algebras of integrable functions. In contrast of the classical case of , we prove that this problem has a positive solution in our setting without any additional restrictions.
Keywords
Cite
@article{arxiv.2601.16186,
title = {Inversion problem in algebras of integrable functions with summable Fourier transforms},
author = {Przemysław Ohrysko},
journal= {arXiv preprint arXiv:2601.16186},
year = {2026}
}