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2013
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# Frits Beukers

P.O.Box 80.010, 3508 TA Utrecht
Mathematics Institute, University of Utrecht

## Publications:

 Beukers F. Unitary Monodromy of Lamé Differential Operators 2007, vol. 12, no. 6, pp.  630-641 Abstract The classical second order Lamé equation contains a so-called accessory parameter $B$. In this paper we study for which values of $B$ the Lamé equation has a monodromy group which is conjugate to a subgroup of $SL(2, \mathbb{R})$ (unitary monodromy with indefinite hermitian form). We reformulate the problem as a spectral problem and give an asymptotic expansion for the spectrum. Keywords: unitary monodromy, Lamé differential equation Citation: Beukers F.,  Unitary Monodromy of Lamé Differential Operators, Regular and Chaotic Dynamics, 2007, vol. 12, no. 6, pp. 630-641 DOI:10.1134/S1560354707060068