Asymptotic expansion of the spectral function of the Hill operator

1986 ◽  
Vol 20 (1) ◽  
pp. 78-79 ◽  
Author(s):  
D. Shenk ◽  
D. Schenk ◽  
M. A. Shubin
Keyword(s):  
Asymptotic Expansion ◽  
Spectral Function ◽  
Hill Operator ◽  
The Hill

ASYMPTOTIC EXPANSION OF THE STATE DENSITY AND THE SPECTRAL FUNCTION OF A HILL OPERATOR

1987 ◽  
Vol 56 (2) ◽  
pp. 473-490 ◽  
Author(s):  
D Shenk ◽  
M A Shubin
Keyword(s):  
Asymptotic Expansion ◽  
Spectral Function ◽  
State Density ◽  
The State ◽  
Hill Operator

Spectral properties of the Hill operator

2016 ◽  
Vol 99 (3-4) ◽  
pp. 598-602 ◽  
Author(s):  
A. G. Baskakov ◽  
D. M. Polyakov
Keyword(s):  
Spectral Properties ◽  
Hill Operator ◽  
The Hill

scholarly journals Estimates for the Hill operator, II

2006 ◽  
Vol 223 (2) ◽  
pp. 229-260 ◽  
Author(s):  
Evgeny Korotyaev
Keyword(s):  
Hill Operator ◽  
The Hill

scholarly journals Essential spectral singularities and the spectral expansion for the Hill operator

2017 ◽  
Vol 16 (6) ◽  
pp. 2227-2251 ◽  
Author(s):  
O. A. Veliev ◽  
Keyword(s):  
Spectral Expansion ◽  
Hill Operator ◽  
Spectral Singularities ◽  
The Hill

scholarly journals On hearing the shape of an arbitrary doubly-connected region in R2

1990 ◽  
Vol 31 (4) ◽  
pp. 472-483 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Asymptotic Expansion ◽  
Spectral Function ◽  
Basic Problem ◽  
Outer Boundary ◽  
Connected Region ◽  
Two Dimensional ◽  
Complete Knowledge ◽  
Impedance Condition

AbstractThe basic problem in this paper is that of determining the geometry of an arbitrary doubly-connected region in R2 together with an impedance condition on its inner boundary and another impedance condition on its outer boundary, from the complete knowledge of the eigenvalues for the two-dimensional Laplacian using the asymptotic expansion of the spectral function for small positive t.

Inverse problem and the trace formula for the Hill operator, II

1999 ◽  
Vol 231 (2) ◽  
pp. 345-368 ◽  
Author(s):  
Evgeni Korotyaev
Keyword(s):  
Inverse Problem ◽  
Trace Formula ◽  
Hill Operator ◽  
The Hill

scholarly journals The inverse problem for the Hill operator, a direct approach

1997 ◽  
Vol 129 (3) ◽  
pp. 567-593 ◽  
Author(s):  
Pavel Kargaev ◽  
Evgeni Korotyaev
Keyword(s):  
Inverse Problem ◽  
Direct Approach ◽  
Hill Operator ◽  
The Hill
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