Construction of KdV Flow I. τ-Function via Weyl Function

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• ISSN: 1812-9471
• Main Author: Kotani, Shinichi
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145877
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Construction of KdV Flow I. τ-Function via Weyl Function / Shinichi Kotani // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 3. — С. 297-335. — Бібліогр.: 14 назв. — англ.

Sato introduced the τ-function to describe solutions to a wide class of completely integrable differential equations. Later Segal–Wilson represented it in terms of the relevant integral operators on Hardy space of the unit disc. This paper gives another representation of the τ -functions by the Weyl...