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| Main Author: | |
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| Format: | Preprint |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1304.6785 |
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| _version_ | 1866912160860340224 |
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| author | Kotani, Shinichi |
| author_facet | Kotani, Shinichi |
| contents | C. Remling obtained a theorem on limit set of the shift operation on a space of functions on R when the associated 1-D half line Schrödinger operators have absolutely continuous component in their spectrum. The purpose of the paper is to define a KdV flow on a certain class of functions containing algebro-geometric functions and to extend this result to the KdV flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_6785 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | On limit set of KdV flow: An extension of Remling theorem Kotani, Shinichi Spectral Theory 37K15 C. Remling obtained a theorem on limit set of the shift operation on a space of functions on R when the associated 1-D half line Schrödinger operators have absolutely continuous component in their spectrum. The purpose of the paper is to define a KdV flow on a certain class of functions containing algebro-geometric functions and to extend this result to the KdV flow. |
| title | On limit set of KdV flow: An extension of Remling theorem |
| topic | Spectral Theory 37K15 |
| url | https://arxiv.org/abs/1304.6785 |