Functional Analysis, Spectral Theory, and Applications

Table of Contents

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   Book Overview
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   Chapter 1 Motivation
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   Chapter 2 Norms and Banach Spaces
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   Chapter 3 Hilbert Spaces, Fourier Series, and Unitary Representations
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   Chapter 4 Uniform Boundedness and the Open Mapping Theorem
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   Chapter 5 Sobolev Spaces and Dirichlet’s Boundary Problem
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   Chapter 6 Compact Self-Adjoint Operators and Laplace Eigenfunctions
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   Chapter 7 Dual Spaces
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   Chapter 8 Locally Convex Vector Spaces
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    Chapter 9 Unitary Operators and Flows, Fourier Transform
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    Chapter 10 Locally Compact Groups, Amenability, Property (T)
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    Chapter 11 Banach Algebras and the Spectrum
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    Chapter 12 Spectral Theory and Functional Calculus
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    Chapter 13 Self-Adjoint and Symmetric Operators
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    Chapter 14 The Prime Number Theorem