Geodesic
Asymptotic expansion of the state density and the spectral function of a~Hill operator
Sbornik. Mathematics, Tome 56 (1987) no. 2, pp. 473-490

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Complete asymptotic expansions are obtained for the integrated state density and the spectral function of a Hill operator with smooth potential. These expansions can be differentiated any number of times outside small neighborhoods of forbidden zones. Bibliography: 18 titles. 
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     author = {D. Schenk and M. A. Shubin},
     title = {Asymptotic expansion of the state density and the spectral function of {a~Hill} operator},
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D. Schenk; M. A. Shubin. Asymptotic expansion of the state density and the spectral function of a~Hill operator. Sbornik. Mathematics, Tome 56 (1987) no. 2, pp. 473-490. http://geodesic.mathdoc.fr/item/SM_1987_56_2_a11/