The Malgrange Form and Fredholm Determinants

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2017
• ISSN: 1815-0659
• Автор: Bertola, M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/148566
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: The Malgrange Form and Fredholm Determinants / M. Bertola // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 15 назв. — англ.

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 de...