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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.19424 |
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| _version_ | 1866909308379201536 |
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| author | Huang, Huichi |
| author_facet | Huang, Huichi |
| contents | We prove a Wiener-type theorem for arcs in the unit circle which concerns express the measure of an arc in the unit circle via the measure's Fourier coefficients. Then we use it to give the Fourier series of the Cantor and to compute the local dimension of a measure satisfying certain conditions of Fourier coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19424 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Wiener-type theorem for arcs in the unit cirle Huang, Huichi Functional Analysis 37A05, 11J71 We prove a Wiener-type theorem for arcs in the unit circle which concerns express the measure of an arc in the unit circle via the measure's Fourier coefficients. Then we use it to give the Fourier series of the Cantor and to compute the local dimension of a measure satisfying certain conditions of Fourier coefficients. |
| title | A Wiener-type theorem for arcs in the unit cirle |
| topic | Functional Analysis 37A05, 11J71 |
| url | https://arxiv.org/abs/2407.19424 |