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The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
Table of Contents
Introduction Reproducing Kernel Hilbert Spaces Isometrical Identities and Inversion Formulas Applications to the Approximation of Functions Applications to Analytic Extension Formulas and Real Inversion Formulas for the Lapace Transform Applications to Source Inverse Problems Appendix 1: Applications to Representations of Inverse Functions Appendix 2: Natural Norm Inequalities in Nonlinear Transforms Appendix 3: Stability of Lipschitz Type in Determination of Initial Heat Distributions
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CHOICE – Outstanding Academic Title – Award Winner
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