Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method
Abstract
Description
A comparison is made between bispectral systems and dual isomonodromic deformation equations. A number of examples are given, showing how bispectral systems may be embedded into isomonodromic ones. Sufficiency conditions are given for the construction of rational solutions of isomonodromic deformation equations through the Riemann-Hilbert problem dressing method, and these are shown, in certain cases, to reduce to bispectral systems.
AMSTeX 13pgs. Text of talk presented at the workshop on the Bispectral Problem, Centre de recherches mathematiques, Universite de Montreal, March 17--21, 1997. To appear in: CRM Proceedings and Lecture Notes series (1997/98)
AMSTeX 13pgs. Text of talk presented at the workshop on the Bispectral Problem, Centre de recherches mathematiques, Universite de Montreal, March 17--21, 1997. To appear in: CRM Proceedings and Lecture Notes series (1997/98)