A note on the periodic Hilbert Transform on a strip
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915001538707456 |
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| author | Gómez-Serrano, Javier Kim, Sieon |
| author_facet | Gómez-Serrano, Javier Kim, Sieon |
| contents | In this note we prove a conjecture by Constantin--Strauss--Vărvărucă related to the finite depth water wave problem, tightening their results. The proof uses identities related to Jacobi Theta functions. We also discuss potential implications of the improvement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00280 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the periodic Hilbert Transform on a strip Gómez-Serrano, Javier Kim, Sieon Analysis of PDEs Classical Analysis and ODEs Number Theory In this note we prove a conjecture by Constantin--Strauss--Vărvărucă related to the finite depth water wave problem, tightening their results. The proof uses identities related to Jacobi Theta functions. We also discuss potential implications of the improvement. |
| title | A note on the periodic Hilbert Transform on a strip |
| topic | Analysis of PDEs Classical Analysis and ODEs Number Theory |
| url | https://arxiv.org/abs/2411.00280 |