Stable approximate evaluation of unbounded operators
著者
書誌事項
Stable approximate evaluation of unbounded operators
(Lecture notes in mathematics, 1894)
Springer, c2007
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注記
Includes bibliographical references (p. [121]-123) and index
内容説明・目次
内容説明
This book teams up the spectral theory of bounded linear operators with von Neumann's theory of unbounded operators to provide a framework for the study of stable methods for the evaluation of unbounded operators. The text presents numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. It also offers an extensive exposition of background material from the theory of operators on Hilbert space.
目次
Some Problems Leading to Unbounded Operators.- Hilbert Space Background.- A General Approach to Stabilization.- The Tikhonov-Morozov Method.- Finite-Dimensional Approximations.
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