On eigenvalues of Lam\'e operator
经典分析与常微分方程
2007-05-23 v1 数学物理
math.MP
可精确求解与可积系统
摘要
We introduce two integral representations of monodromy on Lam\'e equation. By applying them, we obtain results on hyperelliptic-to-elliptic reduction integral formulae, finite-gap potential and eigenvalues of Lam\'e operator.
引用
@article{arxiv.math/0409247,
title = {On eigenvalues of Lam\'e operator},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0409247},
year = {2007}
}
备注
13 pages, based on the talk given at the Workshop "Recent Progress in Solvable lattice Models" (Kyoto, July 2004)