This article is cited in 5 papers

Asymptotics of the density of states of hypoelliptic almost periodic operators

V. I. Bezyaev


Abstract: For a hypoelliptic differential operator with almost periodic coefficients asymptotics are found for the density of states, complete with a remainder term. Under certain conditions on the symbol of the operator the asymptotics imply an estimate on the length of the gaps in the given operator acting in $L^2(\mathbf R^n)$.
Bibliography: 25 titles.

UDC: 517.45

MSC: Primary 47G05, 47F05, 35P20; Secondary 35H05, 46L05, 42A75

Received: 05.07.1977

 English version: Mathematics of the USSR-Sbornik, 1978, 34:4, 425–447

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