On eigenvalues of Lam\'e operator
Classical Analysis and ODEs
2007-05-23 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.math/0409247,
title = {On eigenvalues of Lam\'e operator},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0409247},
year = {2007}
}
Comments
13 pages, based on the talk given at the Workshop "Recent Progress in Solvable lattice Models" (Kyoto, July 2004)