dorsal/arxiv
View SchemaBispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method
| Authors | J. Harnad |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9710016 |
| URL | https://arxiv.org/abs/solv-int/9710016 |
| Journal | CRM Proc. Lecture Notes 14, 67-79, (Amer. Math. Soc., Providence, RI, 1998) |
Abstract
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.
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"abstract": "A comparison is made between bispectral systems and dual isomonodromic\ndeformation equations. A number of examples are given, showing how bispectral\nsystems may be embedded into isomonodromic ones. Sufficiency conditions are\ngiven for the construction of rational solutions of isomonodromic deformation\nequations through the Riemann-Hilbert problem dressing method, and these are\nshown, in certain cases, to reduce to bispectral systems.",
"arxiv_id": "solv-int/9710016",
"authors": [
"J. Harnad"
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"journal_ref": "CRM Proc. Lecture Notes 14, 67-79, (Amer. Math. Soc., Providence,\n RI, 1998)",
"title": "Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method",
"url": "https://arxiv.org/abs/solv-int/9710016"
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