Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II

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dc.creatorKatsnelson, Victor
dc.creatorVolok, Dan
dc.date2004-06-24
dc.date2005-06-18
dc.date.accessioned2026-07-07T05:09:39Z
dc.date.available2026-07-07T05:09:39Z
dc.descriptionIn this second article of the series we study holomorphic families of generic rational matrix functions parameterized by the pole and zero loci. In particular, the isoprincipal deformations of generic rational matrix functions are proved to be isosemiresidual. The corresponding rational solutions of the Schlesinger system are constructed and the explicit expression for the related tau function is given. The main tool is the theory of joint system representations for rational matrix functions with prescribed pole and zero structures.
dc.descriptionadded appendix
dc.identifierhttps://arxiv.org/abs/math/0406489
dc.identifierhttp://arxiv.org/abs/math/0406489
dc.identifierOperator Theory, System Theory And Scattering Theory: Multidimensional Generalizations, Operator Theory: Advances and Applications, vol. 157 (2005), pp. 165 - 203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71661
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject47A56; 34M55
dc.titleRational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II
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