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Walter Rudin's Analysis Books
Book 3
Functional Analysis
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W. Rudin
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3.I · General Theory
▸
3.II · Distributions and Fourier Transforms
▸
3.III · Banach Algebras and Spectral Theory
Part 3.I
General Theory
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Chapter 3.1
Topological Vector Spaces
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Chapter 3.2
Completeness
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Chapter 3.3
Convexity
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Chapter 3.4
Duality in Banach Spaces
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Chapter 3.5
Some Applications
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Part 3.II
Distributions and Fourier Transforms
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Chapter 3.6
Test Functions and Distributions
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Chapter 3.7
Fourier Transforms
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Chapter 3.8
Applications to Differential Equations
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Chapter 3.9
Tauberian Theory
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Part 3.III
Banach Algebras and Spectral Theory
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Chapter 3.10
Banach Algebras
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Chapter 3.11
Commutative Banach Algebras
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Chapter 3.12
Bounded Operators on a Hilbert Space
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Chapter 3.13
Unbounded Operators
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