Open AccessOn Asymptotics of the Density of States for Hypoelliptic Almost Periodic Systems
Author(s) -
V. I. Bezyaev,
В И Безяев
Publication year - 2019
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2019-65-4-593-604
Subject(s) - hypoelliptic operator , projector , remainder , mathematics , spectrum (functional analysis) , pure mathematics , mathematical analysis , physics , arithmetic , partial differential equation , quantum mechanics , linear differential equation , optics
In this paper, we find the asymptotics of integrated density of states with remainder estimate for hypoelliptic systems with almost periodic (a.p.) coefficients. We use the approximate spectral projector method for matrix a.p. operators with continuous spectrum.