On the necessity of nearly-best-possible methods for analytic continuation of scattering data

DOI10.1063/1.1666435zbMath0256.35066OpenAlexW2003898397MaRDI QIDQ5671074

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Publication date: 1973

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

Full work available at URL: https://doi.org/10.1063/1.1666435

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Analytic continuation of functions of one complex variable (30B40)

Related Items (14)

Probabilistic regularization of Fredholm integral equations of the first kind ⋮ An iteration method for stable analytic continuation ⋮ An integral solution for the inverse heat conduction problem after the method of Weber ⋮ Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators ⋮ Noise reconstruction for the inversion heat conduction problem ⋮ Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ Fredholm integral equations of the first kind and topological information theory ⋮ On the estimation of the boundary temperature on a sphere from measurements at its center ⋮ The source identification problem in electromagnetic theory ⋮ On the ill-posed analytic continuation problem: an order optimal regularization scheme ⋮ Stable soft extrapolation of entire functions ⋮ On the solution of a class of Cauchy integral equations ⋮ Holomorphic extensions associated with series expansions

Cites Work

• Three circle theorems in partial differential equations and applications to improperly posed problems
• Unstable Particles as Targets in Scattering Experiments
• Least Squares Methods for Ill-Posed Problems with a Prescribed Bound

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