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Inversion problem in algebras of integrable functions with summable Fourier transforms

Published 22 Jan 2026 in math.FA | (2601.16186v1)

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 $L{1}(G)$, we prove that this problem has a positive solution in our setting without any additional restrictions.

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