On Wiener's Lemma on locally compact abelian groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910945193754624 |
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| author | Jaming, Philippe Kellay, Karim Perez Iii, Rolando |
| author_facet | Jaming, Philippe Kellay, Karim Perez Iii, Rolando |
| contents | We establish a general form of Wiener's lemma for measures on locally compact abelian (LCA) groups by using Fourier analysis and the theory of F{ø}lner sequences. Our approach provides a unified framework that that encompasses both the discrete and continuous cases. We also show a version of Wiener's lemma for Bochner-Riesz means on both R^d and T^d . Mathematics Subject Classification (2010). 43A25. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10061 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Wiener's Lemma on locally compact abelian groups Jaming, Philippe Kellay, Karim Perez Iii, Rolando Classical Analysis and ODEs Complex Variables Functional Analysis We establish a general form of Wiener's lemma for measures on locally compact abelian (LCA) groups by using Fourier analysis and the theory of F{ø}lner sequences. Our approach provides a unified framework that that encompasses both the discrete and continuous cases. We also show a version of Wiener's lemma for Bochner-Riesz means on both R^d and T^d . Mathematics Subject Classification (2010). 43A25. |
| title | On Wiener's Lemma on locally compact abelian groups |
| topic | Classical Analysis and ODEs Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2505.10061 |