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Analysis of the inverse Born series: an approach

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arxiv 2201.04689 v1 pith:NJNNUJBW submitted 2022-01-12 math.AP math-phmath.MP

classification math.APmath-phmath.MP
keywords inverseapproachbornseriesanalysisanalyzeapplicationapproximation
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We analyze the convergence and approximation error of the inverse Born series, obtaining results that hold under qualitatively weaker conditions than previously known. Our approach makes use of tools from geometric function theory in Banach spaces. An application to the inverse scattering problem with diffuse waves is described.

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