First-order Trace Formulae for the Iterates of the Fox–Li Operator

DOI10.1007/978-3-0348-0221-5_8zbMath1270.47024OpenAlexW2231590320MaRDI QIDQ2915193

Arieh Iserles, Daan Huybrechs, Sergei M. Grudsky, Albrecht Böttcher

Publication date: 21 September 2012

Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_8

zbMATH Keywords

eigenvaluetrace formulaWiener-Hopf operatorFox-Li operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Lasers, masers, optical bistability, nonlinear optics (78A60) Eigenvalue problems for integral equations (45C05)

Related Items (4)

On the singular values of the Fox-Li operator ⋮ The part of my path I walked together with Sergei Grudsky ⋮ Nuclearity for power series kernels in higher dimensions ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups

Uses Software

• Eigtool

Cites Work

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• On the singular values and eigenvalues of the Fox-Li and related operators
• Eigenvalue distribution of time and frequency limiting
• Introduction to large truncated Toeplitz matrices
• Pseudospectra and singular values of large convolution operators
• Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols
• The computation of the spectra of highly oscillatory Fredholm integral operators
• The notion of approximate eigenvalues applied to an integral equation of laser theory
• Eigensystems Associated with the Complex-Symmetric Kernels of Laser Theory
• Mode degeneracies and the petermann excess-noise factor for unstable lasers
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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