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Theory of Reproducing Kernels and Applications

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Cover of 'Theory of Reproducing Kernels and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Definitions and Examples of Reproducing Kernel Hilbert Spaces
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    Chapter 2 Fundamental Properties of RKHS
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    Chapter 3 Moore Penrose Generalized Inverses and Tikhonov Regularization
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    Chapter 4 Real Inversion Formulas of the Laplace Transform
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    Chapter 5 Applications to Ordinary Differential Equations
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    Chapter 6 Applications to Partial Differential Equations
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    Chapter 7 Applications to Integral Equations
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    Chapter 8 Special Topics on Reproducing Kernels
Attention for Chapter 5: Applications to Ordinary Differential Equations
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