Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Mukhin, E., Tarasov, V., Varchenko, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147376
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel / E. Mukhin, V. Tarasov, A. Varchenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ.

We show that the difference equation Df = 0 for an M-valued function f has a basis of solutions consisting of quasi-exponentials.