Mathematics – Classical Analysis and ODEs
Scientific paper
2001-12-18
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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