The Malgrange Form and Fredholm Determinants
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Malgrange Form and Fredholm Determinants
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| Creator |
Bertola, M.
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| Description |
We consider the factorization problem of matrix symbols relative to a closed contour, i.e., a Riemann-Hilbert problem, where the symbol depends analytically on parameters. We show how to define a function τ which is locally analytic on the space of deformations and that is expressed as a Fredholm determinant of an operator of ''integrable'' type in the sense of Its-Izergin-Korepin-Slavnov. The construction is not unique and the non-uniqueness highlights the fact that the tau function is really the section of a line bundle.
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| Date |
2019-02-18T15:57:07Z
2019-02-18T15:57:07Z 2017 |
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| Type |
Article
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| Identifier |
The Malgrange Form and Fredholm Determinants / M. Bertola // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 15 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q15; 47A53; 47A68 DOI:10.3842/SIGMA.2017.046 http://dspace.nbuv.gov.ua/handle/123456789/148566 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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