Spectral Theory of Integral Operators

2001 ◽  
pp. 131-151
Author(s):  
Israel Gohberg ◽  
Seymour Goldberg
Keyword(s):  
Spectral Theory ◽  
Integral Operators

Spectral Theory of Integral Operators

2003 ◽  
pp. 193-202
Author(s):  
Israel Gohberg ◽  
Seymour Goldberg ◽  
Marinus A. Kaashoek
Keyword(s):  
Spectral Theory ◽  
Integral Operators

Spectral theory of large Wiener–Hopf operators with complex-symmetric kernels and rational symbols

2011 ◽  
Vol 151 (1) ◽  
pp. 161-191 ◽  
Author(s):  
ALBRECHT BÖTTCHER ◽  
SERGEI GRUDSKY ◽  
ARIEH ISERLES
Keyword(s):  
Fourier Transform ◽  
Asymptotic Behaviour ◽  
Spectral Theory ◽  
Asymptotic Expansions ◽  
Integral Operators ◽  
Rational Symbols ◽  
Complex Symmetric

AbstractThis paper is devoted to the asymptotic behaviour of individual eigenvalues of truncated Wiener–Hopf integral operators over increasing intervals. The kernel of the operators is complex-symmetric and has a rational Fourier transform. Under additional hypotheses, the main result describes the location of the eigenvalues and provides their asymptotic expansions in terms of the reciprocal of the length of the truncation interval. Also determined is the structure of the eigenfunctions.

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