The Extended Paley-Wiener Theorem over the Hardy-Sobolev Spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914715712618496 |
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| author | Liu, Detian Li, Haichou Kou, Kit Ian |
| author_facet | Liu, Detian Li, Haichou Kou, Kit Ian |
| contents | We examine how the square-integrable function subspaces are transformed using the holomorphic Fourier transform. On account of this, the extended Paley-Wiener theorem over the Hardy-Sobolev spaces is produced. The theorem also asserts that the reproducing kernel of the Hardy-Sobolev spaces can be found. We discuss the relationship between the disc and the upper half-plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10040 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Extended Paley-Wiener Theorem over the Hardy-Sobolev Spaces Liu, Detian Li, Haichou Kou, Kit Ian Functional Analysis 46C07(Primary), 30A99, 47G10(Secondary) We examine how the square-integrable function subspaces are transformed using the holomorphic Fourier transform. On account of this, the extended Paley-Wiener theorem over the Hardy-Sobolev spaces is produced. The theorem also asserts that the reproducing kernel of the Hardy-Sobolev spaces can be found. We discuss the relationship between the disc and the upper half-plane. |
| title | The Extended Paley-Wiener Theorem over the Hardy-Sobolev Spaces |
| topic | Functional Analysis 46C07(Primary), 30A99, 47G10(Secondary) |
| url | https://arxiv.org/abs/2310.10040 |