Theory of Linear Ill-Posed Problems and its Applications
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Beschreibung
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the bookconsiders ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been madein the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
Autor*in
Valentin K. Ivanov
Themen in »Theory of Linear Ill-Posed Problems and its Applications«
Banach spaces Error Estimation Hilbert Spaces Linear Ill-posed Problems Optimality Method Sets of Uniform Regularization Inverses Problem Funktionalanalysis Operatortheorie Inkorrekt gestelltes Problem