Stable Approximate Evaluation of Unbounded Operators

Stable Approximate Evaluation of Unbounded Operators

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Spectral theory of bounded linear operators teams up with von Neumanna€™s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.1816: S. Albeverio, W. Schachermayer, M. Tala- grand, Lectures on Probability Theory and Statistics. ... 1841: W. Reichel, Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (2004) Vol. 1842: T. Johnsen anbsp;...


Title:Stable Approximate Evaluation of Unbounded Operators
Author: C. W. Groetsch
Publisher:Springer Science & Business Media - 2007
ISBN-13:

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