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Asymptotics of instability zones of Hill operators with a two term potential

Authors:	Plamen Djakov Boris Mityagin

Institution:	1. Department of Mathematics, Sofia University, 1164 Sofia, Bulgaria;2. Department of Mathematics, The Ohio State University, 231, West 18th Ave, Columbus, OH 43210, USA

Abstract:	We give a sharp asymptotics of the instability zones of the Hill operator $L y = ? y^{″} + (a cos 2 x + b cos 4 x) y$ for arbitrary real $a, b \neq 0$ . *To cite this article: P. Djakov, B. Mityagin, C. R. Acad. Sci. Paris, Ser. I 339 (2004).*

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