《泛函分析》是2004年机械工业出版社出版的图书，作者是鲁丁。

《泛函分析》(英文版)(第2版)作为Rudin的分析学经典著作之一，《泛函分析》(英文版)(第2版)秉承了内容精练、结构清晰的特点。第2版新增的内容有Kakutani不动点定理、Lamonosov不变子空间定理以及遍历定理等。另外，还适当增加了一些例子和习题。

Preface

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

Appendix A Compactness and Continuity

Appendix B Notes and Comments

Bibliography

List of Special Symbols

Index