A Qualitative Approach to Inverse Scattering Theory

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Focusing on qualitative methods in inverse scattering theory, this book introduces innovative approaches that bypass traditional weak scattering assumptions and nonlinear optimization techniques. It emphasizes sampling methods and transmission eigenvalues to estimate the shape and material properties of scattering objects with minimal prior information. To accommodate readers from non-mathematical backgrounds, it includes essential concepts from functional analysis, Sobolev spaces, ill-posed problems, and complex variable theory. This edition builds upon the authors' earlier work, enhancing its accessibility and depth.