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 Inverse spectral problem for the Hill operator on the graph with a loop

2020 ◽  
Author(s):  
Rakib Efendiev
Keyword(s):  
Inverse Problem ◽  
Spectral Problem ◽  
Uniqueness Theorem ◽  
Spectral Properties ◽  
Inverse Spectral Problem ◽  
Hill Operator ◽  
Inverse Spectral ◽  
Definition Of ◽  
The Hill ◽  
The Uniqueness Theorem

In this paper, we investigate a generalization of the classical a PT-symmetric Hill operator to lasso graph. The definition of the PT-symmetric Hill operator on lasso graph is given and derived its spectral properties. We solved the inverse problem, proved the uniqueness theorem and provided a constructive procedure for the solution of the inverse problem.

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 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

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

1999 ◽  
Vol 138 (1) ◽  
pp. 227-227 ◽  
Author(s):  
Pavel Kargaev ◽  
Evgeni Korotyaev
Keyword(s):  
Inverse Problem ◽  
Direct Approach ◽  
Hill Operator ◽  
The Hill

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

Fourier Method for a Mixed Problem with the Hill Operator

2020 ◽  
Vol 56 (6) ◽  
pp. 679-684
Author(s):  
A. G. Baskakov ◽  
D. M. Polyakov
Keyword(s):  
Mixed Problem ◽  
Fourier Method ◽  
Hill Operator ◽  
The Hill
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