Spectral and scattering theory for perturbations of the Carleman operator

DOI10.1090/S1061-0022-2014-01294-0zbMath1320.47005arXiv1210.5709MaRDI QIDQ2930924

Dimitri Yafaev

Publication date: 20 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5709

zbMATH Keywords

eigenfunctionsdiscrete spectrumscattering matrixresonancesabsolutely continuous spectrumHankel operatorswave operatorsresolvent kernelstotal number of eigenvalues

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Scattering theory of linear operators (47A40)

Related Items

Spectral and scattering theory for differential and Hankel operators ⋮ On finite rank Hankel operators

Cites Work

• Spectral theory of self-adjoint Hankel matrices
• Scattering theory for differential operators. II: Self-adjoint elliptic operators
• A Trace Formula for Differential Operators of Arbitrary Order
• Spectral and scattering theory of fourth order differential operators
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