Difference analogue of the Treibich-Verdier operator Full article
| Journal |
Izvestiya Mathematics
ISSN: 1064-5632 |
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| Output data | Year: 2026, Volume: 90, Number: 1, Pages: 224-237 Pages count : 14 DOI: 10.4213/im9720e | ||||
| Tags | commuting difference operator, commuting differential operator. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00281 |
Abstract:
In [1], it was shown that the one-dimensional finite-gap Schr¨odinger operator can be extended to a second-order difference operator depending on a small parameter and commuting with some difference operator of order 2g + 1. In this case, if the small parameter tends to zero, then the second-order difference operator becomes a Schr¨odinger operator. In this paper, we construct such an extension for the finite-gap TreibichVerdier operator.
Cite:
Mauleshova G.S.
, Mironov A.E.
Difference analogue of the Treibich-Verdier operator
Izvestiya Mathematics. 2026. V.90. N1. P.224-237. DOI: 10.4213/im9720e OpenAlex
Difference analogue of the Treibich-Verdier operator
Izvestiya Mathematics. 2026. V.90. N1. P.224-237. DOI: 10.4213/im9720e OpenAlex
Original:
Mauleshova G.S.
, Mironov A.E.
Разностный аналог оператора Трейбича-Вердье
Известия Российской академии наук. Серия математическая. 2026. Т.90. №1. С.230-243. DOI: 10.4213/im9720 OpenAlex
Разностный аналог оператора Трейбича-Вердье
Известия Российской академии наук. Серия математическая. 2026. Т.90. №1. С.230-243. DOI: 10.4213/im9720 OpenAlex
Dates:
| Submitted: | Feb 25, 2025 |
| Accepted: | Mar 12, 2025 |
| Published print: | Feb 9, 2026 |
| Published online: | Feb 9, 2026 |
Identifiers:
| OpenAlex: | W7128437874 |
Citing:
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