The Gel’fand–Levitan equation can give simple examples of non-self-adjoint operators with complete eigenfunctions and spectral representations. I. Ghosts and resonances

DOI10.1063/1.524619zbMath0451.35052OpenAlexW1997137732MaRDI QIDQ3897390

Brian DeFacio, H. E. Moses

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524619

zbMATH Keywords

resonancesGel'fand-Levitan equationGhostsnon-self-adjoint operators with complete eigenfunctions

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

A Marchenko equation for complex interactions with a regular analytic continuation

Cites Work

• Über adjungierte Funktionaloperatoren
• Über die Spektralzerlegung eines Integraloperators
• Potentials with zero scattering phase
• Some non-selfadjoint operators
• A note on completeness
• Inverse scattering. I. One dimension
• Inverse scattering. II. Three dimensions

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