Inversion Problem in Algebras of Integrable Functions With Summable Fourier Transforms

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.

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Publication Details

Journal
Mathematische Nachrichten
Published
2026-08-18
DOI
https://doi.org/10.1002/mana.70240
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
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article

Inversion Problem in Algebras of Integrable Functions With Summable Fourier Transforms

Przemysław Ohrysko
Mathematische Nachrichten
Mathematical Analysis and Transform Methods
article

Inversion Problem in Algebras of Integrable Functions With Summable Fourier Transforms

Przemysław Ohrysko
article en

Abstract

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.

Mathematische Nachrichten
University of Warsaw (PL)
Openalex Percentile: Top 88%
Mathematical Analysis and Transform Methods
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