scholarly journals An Improved Remainder Estimate in the Weyl Formula for the Planar Disk

2018 ◽  
Vol 25 (4) ◽  
pp. 1553-1579
Author(s):  
Jingwei Guo ◽  
Weiwei Wang ◽  
Zuoqin Wang
Keyword(s):  
Weyl Formula ◽  
Remainder Estimate

Ray-Splitting Correction to the Weyl Formula: Experiment versus Theory

2003 ◽  
Vol 90 (19) ◽  
Author(s):  
Corrie Vaa ◽  
Peter M. Koch ◽  
Reinhold Blümel
Keyword(s):  
Weyl Formula ◽  
Experiment Versus

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.

Spectral asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials

1996 ◽  
Vol 126 (4) ◽  
pp. 829-836 ◽  
Author(s):  
S. Z. Levendorskiĭ
Keyword(s):  
Schrödinger Operators ◽  
Principal Term ◽  
Spectral Asymptotics ◽  
Schrodinger Operators ◽  
Remainder Estimate

We compute the principal term of the asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials q, a typical example being q(x) = In … In |x| outside some compact.

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