scholarly journals Spectral analysis of Dirac operators with delta interactions supported on the boundaries of rough domains

2022 ◽  
Vol 63 (1) ◽  
pp. 011507
Author(s):  
Badreddine Benhellal
Keyword(s):  
Spectral Analysis ◽  
Dirac Operators

Separated Dirac operators and asymptotically constant linear systems

1997 ◽  
Vol 121 (1) ◽  
pp. 141-146 ◽  
Author(s):  
V. ARNOLD ◽  
H. KALF ◽  
A. SCHNEIDER
Keyword(s):  
Spectral Analysis ◽  
Linear Systems ◽  
Differential Operators ◽  
Dirac Operators ◽  
Levinson’S Theorem ◽  
Ordinary Differential Operators ◽  
Levinson Theorem

Levinson's theorem with all its ramifications is a well-established tool in the spectral analysis of ordinary differential operators (see in particular §§3·10, 11 and 4·3, 4 of Eastham's book [5]). In this note we should like to draw attention to a result that describes the solutions of asymptotically constant linear systems under weaker assumptions less precisely than the Levinson theorem. This result can be called the Perron–Lettenmeyer–Hartman–Wintner theorem after the contributions of these authors in [11, 10, 6, 8]. (Note that the Hartman–Wintner theorem that is discussed in [5, p. 17] is a substantially different version of this theorem.)

Spectral analysis of asymmetry training effect for depression

2008 ◽  
Author(s):  
Ji Ha Lee ◽  
Sung Won Choi ◽  
Ji Sun Min ◽  
Eun Ju Jaekal ◽  
Gyhye Sung
Keyword(s):  
Spectral Analysis ◽  
Training Effect
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