The Heun equation and the Calogero-Moser-Sutherland system II: perturbation and algebraic solution

Simple item page
dc.creatorTakemura, Kouichi
dc.date2001-12-18
dc.date2004-02-05
dc.date.accessioned2026-07-07T04:45:18Z
dc.date.available2026-07-07T04:45:18Z
dc.descriptionWe apply a method of perturbation for the $BC_1$ Inozemtsev model from the trigonometric model and show the holomorphy of perturbation.Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between $L^2$ space and some finite dimensional space of elliptic functions.
dc.description30 pages, to appear in Electronic Journal of Differential Equations
dc.identifierhttps://arxiv.org/abs/math/0112179
dc.identifierhttp://arxiv.org/abs/math/0112179
dc.identifierElectron. J. Differential Equations 2004 no.15 1-30
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62907
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject33E15; 81Q10
dc.titleThe Heun equation and the Calogero-Moser-Sutherland system II: perturbation and algebraic solution
dc.typetext

Files

Collections

arXiv