Vector Fourier analysis on compact groups and Assiamoua spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909498814234624 |
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| author | Mensah, Yaogan |
| author_facet | Mensah, Yaogan |
| contents | This paper shows how a family of function spaces (coined as Assiamoua spaces) plays a fundamental role in the Fourier analysis of vector-valued functions compact groups. These spaces make it possible to transcribe the classic results of Fourier analysis in the framework of analysis of vector-valued functions and vector measures. The construction of Sobolev spaces of vector-valued functions on compact groups rests heavily on the members of the aforementioned family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vector Fourier analysis on compact groups and Assiamoua spaces Mensah, Yaogan Functional Analysis This paper shows how a family of function spaces (coined as Assiamoua spaces) plays a fundamental role in the Fourier analysis of vector-valued functions compact groups. These spaces make it possible to transcribe the classic results of Fourier analysis in the framework of analysis of vector-valued functions and vector measures. The construction of Sobolev spaces of vector-valued functions on compact groups rests heavily on the members of the aforementioned family. |
| title | Vector Fourier analysis on compact groups and Assiamoua spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.15211 |