This article is cited in 11 papers

Asymptotic expansion of the state density and the spectral function of a Hill operator

D. Schenk, M. A. Shubin


Abstract: 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.

UDC: 517.984.5

MSC: Primary 34B25, 34B30, 34E05; Secondary 35J10, 70H99

Received: 24.07.1984

 English version: Mathematics of the USSR-Sbornik, 1987, 56:2, 473–490

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