Inversion problem in algebras of integrable functions with summable Fourier transforms
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914273596276736 |
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| author | Ohrysko, Przemysław |
| author_facet | Ohrysko, Przemysław |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16186 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inversion problem in algebras of integrable functions with summable Fourier transforms Ohrysko, Przemysław Functional Analysis 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. |
| title | Inversion problem in algebras of integrable functions with summable Fourier transforms |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.16186 |