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Unitary monodromy of Lamé differential operators

By F. Beukers

Abstract

The classical second order Lamé equation contains a so-called accessory parameter B. In\ud this paper we study for which values of B the Lamé equation has a monodromy group which\ud is conjugate to a subgroup of SL(2,R) (unitary monodromy with indefinite hermitian\ud form). We refomulate the problem as a spectral problem and give an asymptotic expansion\ud for the spectrum. - To be published in Regular and Chaotic Dynamics, 12, 6, 630-641, special issue in honor of Richard Cushman, 2007

Topics: Wiskunde en Informatica
Publisher: Springer
Year: 2007
OAI identifier: oai:dspace.library.uu.nl:1874/26395
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