Asymptotics of the density of states of hypoelliptic almost periodic operators
Sbornik. Mathematics, Tome 34 (1978) no. 4, pp. 425-447
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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.
@article{SM_1978_34_4_a1,
author = {V. I. Bezyaev},
title = {Asymptotics of the density of states of hypoelliptic almost periodic operators},
journal = {Sbornik. Mathematics},
pages = {425--447},
publisher = {mathdoc},
volume = {34},
number = {4},
year = {1978},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1978_34_4_a1/}
}
V. I. Bezyaev. Asymptotics of the density of states of hypoelliptic almost periodic operators. Sbornik. Mathematics, Tome 34 (1978) no. 4, pp. 425-447. http://geodesic.mathdoc.fr/item/SM_1978_34_4_a1/