scholarly journals Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators

2013 ◽  
Vol 15 (2) ◽  
pp. 263-312 ◽  
Author(s):  
Sergey Morozov ◽  
Leonid Parnovski ◽  
Roman Shterenberg
Keyword(s):  
Asymptotic Expansion ◽  
Density Of States ◽  
Differential Operators ◽  
Integrated Density Of States ◽  
Almost Periodic ◽  
Complete Asymptotic Expansion ◽  
Pseudo Differential Operators

scholarly journals On Asymptotics of the Density of States for Hypoelliptic Almost Periodic Systems

2019 ◽  
Vol 65 (4) ◽  
pp. 593-604
Author(s):  
V. I. Bezyaev
Keyword(s):  
Continuous Spectrum ◽  
Density Of States ◽  
Periodic Systems ◽  
Integrated Density Of States ◽  
Almost Periodic ◽  
Spectral Projector ◽  
Remainder Estimate

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.

scholarly journals ON DERIVATION OF THE DENSITY OF STATES FOR PERIODIC OPERATORS BY THE METHOD OF ASYMPTOTIC EXPANSION

2005 ◽  
Vol 48 (1) ◽  
pp. 51-60
Author(s):  
K. D. Cherednichenko ◽  
P. Padilla
Keyword(s):  
Asymptotic Expansion ◽  
Density Of States ◽  
Differential Operators ◽  
One Dimension ◽  
Classical Theorem ◽  
Asymptotic Approach ◽  
Linear Differential Operators ◽  
Primary 34L20 ◽  
Linear Differential ◽  
Periodic Operators

AbstractA new asymptotic approach is suggested for studying spectra of linear differential operators with periodic coefficients. The resulting formal recurrent procedure and its rigorous justification allow us to prove a classical theorem on the density of states in one dimension.AMS 2000 Mathematics subject classification: Primary 34L20. Secondary 74J99; 78M35

scholarly journals C*-algebras of almost periodic pseudo-differential operators

1973 ◽  
Vol 130 (0) ◽  
pp. 279-307 ◽  
Author(s):  
L. A. Coburn ◽  
R. D. Moyer ◽  
I. M. Singer
Keyword(s):  
Differential Operators ◽  
Almost Periodic ◽  
C Algebras ◽  
Pseudo Differential Operators
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