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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.07873 |
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| _version_ | 1866910973567172608 |
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| author | Veliev, O. A. |
| author_facet | Veliev, O. A. |
| contents | In this paper, we establish a condition on the coefficients of differential operators generated in the space of square-integrable functions on the entire real line by an ordinary differential expression with periodic, complex-valued coefficients, under which the operator is a spectral operator in the sense of Dunford [1]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Spectrality of the Differential Operators with Periodic Coefficients Veliev, O. A. Spectral Theory In this paper, we establish a condition on the coefficients of differential operators generated in the space of square-integrable functions on the entire real line by an ordinary differential expression with periodic, complex-valued coefficients, under which the operator is a spectral operator in the sense of Dunford [1]. |
| title | On the Spectrality of the Differential Operators with Periodic Coefficients |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2504.07873 |