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

DOI10.1017/S0305004111000259zbMath1227.47015OpenAlexW2133773677MaRDI QIDQ3006536

Arieh Iserles, Sergei M. Grudsky, Albrecht Böttcher

Publication date: 20 June 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004111000259

zbMATH Keywords

eigenvalueasymptotic expansioneigenfunctiontruncated Toeplitz operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (8)

On the singular values of the Fox-Li operator ⋮ The part of my path I walked together with Sergei Grudsky ⋮ Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ Asymptotics of eigenvectors of large symmetric banded Toeplitz matrices ⋮ Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols ⋮ Asymptotics of eigenvalues of symmetric Toeplitz band matrices ⋮ Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols

Cites Work

• Unnamed Item
• Inside the eigenvalues of certain Hermitian Toeplitz band matrices
• Eigenvalue distribution of time and frequency limiting
• Two remarks on spectral approximations for Wiener-Hopf operators
• (Modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels revisited
• Some results on complex Toeplitz eigenvalues
• WIENER-HOPE Determinants with Rational Symbols
• The spectral problem for a class of highly oscillatory Fredholm integral operators

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