On non-uniqueness of phase retrieval in multidimensions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911128532025344 |
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| author | Novikov, Roman Xu, Tianli |
| author_facet | Novikov, Roman Xu, Tianli |
| contents | We give a large class of examples of non-uniqueness for the phase retrieval problem in multidimensions. Our constructions are based on "oblique tensorization", where one-dimensional results are strongly used, and its generalizations towards complete description of non-uniqueness. Our examples include the case of functions with strongly disconnected compact support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05030 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On non-uniqueness of phase retrieval in multidimensions Novikov, Roman Xu, Tianli Mathematical Physics 42A38, 35R30 We give a large class of examples of non-uniqueness for the phase retrieval problem in multidimensions. Our constructions are based on "oblique tensorization", where one-dimensional results are strongly used, and its generalizations towards complete description of non-uniqueness. Our examples include the case of functions with strongly disconnected compact support. |
| title | On non-uniqueness of phase retrieval in multidimensions |
| topic | Mathematical Physics 42A38, 35R30 |
| url | https://arxiv.org/abs/2407.05030 |