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Functional Analysis

Overview of attention for book
Cover of 'Functional Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 Semi-norms
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    Chapter 3 Applications of the Baire-Hausdorff Theorem
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    Chapter 4 The Orthogonal Projection and F. Riesz’ Representation Theorem
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    Chapter 5 The Hahn-Banach Theorems
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    Chapter 6 Strong Convergence and Weak Convergence
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    Chapter 7 Fourier Transform and Differential Equations
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    Chapter 8 Dual Operators
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    Chapter 9 Resolvent and Spectrum
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    Chapter 10 Analytical Theory of Semi-groups
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    Chapter 11 Compact Operators
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    Chapter 12 Normed Rings and Spectral Representation
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    Chapter 13 Other Representation Theorems in Linear Spaces
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    Chapter 14 Ergodic Theory and Diffusion Theory
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    Chapter 15 The Integration of the Equation of Evolution
Attention for Chapter 7: Fourier Transform and Differential Equations
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