FUNCTIONAL ANALYSIS Second Edition Walter Rudin

FUNCTIONAL ANALYSIS Second  Edition Walter  Rudin

This book mostly used for beginner of studying persons and reference for project of Ph. D  in functional analysis. This book decided in 3big parts and the 13 chapters are including the following three parts. They are

Part I General Theory
Part II Distributions and Fourier Transforms
Part III Banach Algebras and Spectral Theory

And the 13 chapters are categorized by the following :

Part I General Theory
1 Topological Vector Spaces
2 Completeness
3 Convexity
4 Duality in Banach Spaces
5 Some Applications

Part II Distributions and Fourier Transforms
6 Test Functions and Distributions
7 Fourier Transforms
8 Applications to Differential Equations
9 Tauberian Theory

Part III Banach Algebras and Spectral Theory
10 Banach Algebras
11 Commutative Banach Algebras
12 Bounded Operators on a Hilbert Space
13 Unbounded Operators 

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