The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy
Kouichi Takemura
Abstract
A new approach to the finite-gap property for the Heun equation is constructed. The relationship between the finite-dimensional invariant space and the spectral curve is clarified. The monodromies are calculated and are expressed as hyperelliptic integrals. Applications to the spectral problem for the BC1 Inozemtsev model are obtained.
Create a lesson
Related papers
Sharp mixed Ap-A∞ estimates for sparse operators on filtered and nonhomogeneous measure spaces
Francisco Gonçalves, Emiel Lorist
Lp Decay Estimates for Circular Means of Fractal Measures in R2
Zhenbin Cao, Feilong Guo, Junfeng Li
The divergence set for the wave equation in higher dimensions
Xiumin Du, Terence L. J. Harris, Jianhui Li
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
Rigorous analysis of giant magnetic vortex strings
Ovidiu Avadanei, Wilhelm Schlag
Multilinear Mikhlin Multipliers with Degenerate Singularities
Hanaë Vandanjon