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

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

2001-12-18

arxiv.org/abs/math/0112179v3

Electron. J. Differential Equations 2004 no.15 1-30

Mathematics

Classical Analysis and ODEs

30 pages, to appear in Electronic Journal of Differential Equations

Scientific paper

We 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.

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